Generated by GPT-5-mini| 112 | |
|---|---|
| Name | 112 |
| Numeral | 112 |
| Factors | 2^4 × 7 |
| Divisors | 1, 2, 4, 7, 8, 14, 16, 28, 56, 112 |
| Roman | CXII |
112 112 is a natural number following 111 and preceding 113. It appears across diverse domains including telecommunications, mathematics, science, arts, and transportation. The number recurs in international standards, chemical isotopes, music catalogues, and route designations, linking notable people, institutions, and events.
As a composite integer with prime factorization 2^4 × 7, 112 connects to figures in number theory studied by mathematicians such as Carl Friedrich Gauss, Leonhard Euler, and Srinivasa Ramanujan. In historical contexts, 112 surfaces in archival inventories of the British Museum, catalogues of the Library of Congress, and registries of the United Nations. Legislative and regulatory texts from bodies like the European Union and the International Telecommunication Union reference 112 in relation to emergency communications and harmonization initiatives. Scientific organizations including the International Union of Pure and Applied Chemistry and the International Union of Pure and Applied Physics use the numeral in isotope and atomic-number discussions linked to research at facilities such as CERN and Lawrence Livermore National Laboratory.
The three-digit emergency number standardized across the European Union and adopted in many states provides a single point of contact for services involving the Red Cross, St John Ambulance, and national police forces such as the Metropolitan Police Service and the Gendarmerie Nationale. Telecommunications regulators including the European Commission and the International Telecommunication Union coordinate with carriers like Vodafone, Deutsche Telekom, and Orange S.A. to route calls to emergency dispatch centers operated by municipal authorities exemplified by New York City Emergency Management and London Fire Brigade. Major incidents — for example responses to the 2004 Madrid train bombings, the 2015 Paris attacks, and the 2011 Norway attacks — prompted reviews by bodies such as Interpol and the Organization for Security and Co-operation in Europe on interoperability, prompting changes in protocols employed by emergency medical services like NHS England and the American Red Cross.
In mathematics, 112 is notable in divisor functions studied by researchers at institutions such as Princeton University, University of Cambridge, and the École Normale Supérieure. Analyses by figures like G. H. Hardy and John von Neumann situate such integers within explorations of perfect numbers, abundant numbers, and sigma functions. In chemistry, atomic research into element 112 (copernicium) involves laboratories including GSI Helmholtz Centre for Heavy Ion Research and collaborations among scientists like Sigurd Hofmann; work published in journals associated with the American Chemical Society and Nature links to nomenclature decisions by the International Union of Pure and Applied Chemistry. Physics experiments at Lawrence Berkeley National Laboratory and JINR Dubna address isotopes and decay chains that include mass numbers near 112, with relevance to theoretical models advanced at MIT and Caltech.
The numeral appears in titles and cataloguing across music, film, and literature managed by institutions such as the British Library, Smithsonian Institution, and Bibliothèque nationale de France. Bands like U2 and artists associated with labels such as Island Records or Sony Music have tracks or catalogue entries that reference the number in liner notes archived by Rolling Stone and curated in exhibitions at the Museum of Modern Art. Film festivals including the Cannes Film Festival and the Toronto International Film Festival have screened works with production codes or short films labeled using the numeral in festival catalogues; critics from publications such as The Guardian and The New York Times have noted such instances. Literary collections curated by Penguin Books and HarperCollins sometimes index poems or short stories under numeric sequences used by editors like T. S. Eliot and Susan Sontag.
Route numbers, flight numbers, and vessel identifiers bearing the numeral are managed by agencies such as the Federal Aviation Administration, International Civil Aviation Organization, and national ministries like the Department of Transportation (United States) and Ministry of Transport (United Kingdom). Highways and motorways in countries including France, Germany, and Spain assign the numeral to regional roads listed in atlases by Michelin and mapping services like Google Maps and OpenStreetMap. Rail services operated by companies such as Deutsche Bahn, SNCF, and Amtrak may use the figure in timetable identifiers; port authorities including the Port of Rotterdam and Port of Singapore catalog berths and shipping lanes with numeric designations. Aviation incidents prompting regulatory review by bodies like the National Transportation Safety Board have led to scrutiny of flight-numbering practices when numbers coincide with historical events or regional conventions.
Category:Integers