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112012120101012 = 223172418831257993
BaseRepresentation
bin11001011101111111011010…
…101000010001000010010100
3112200121020212020111120001020
4121131333122220101002110
5104140201310221213022
61034121354012401140
732410415520263235
oct3135773250210224
9480536766446036
10112012120101012
113276608971328a
12106908484761b0
134a6690b82b221
141d935b635308c
15ce3a5b78635c
hex65dfdaa11094

112012120101012 has 96 divisors (see below), whose sum is σ = 277916651679744. Its totient is φ = 34991145369600.

The previous prime is 112012120101001. The next prime is 112012120101019. The reversal of 112012120101012 is 210101021210211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 112012120100982 and 112012120101000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112012120101019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 434038288 + ... + 434296280.

It is an arithmetic number, because the mean of its divisors is an integer number (2894965121664).

Almost surely, 2112012120101012 is an apocalyptic number.

112012120101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112012120101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138958325839872).

112012120101012 is an abundant number, since it is smaller than the sum of its proper divisors (165904531578732).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112012120101012 is a wasteful number, since it uses less digits than its factorization.

112012120101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267089 (or 267087 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 112012120101012 its reverse (210101021210211), we get a palindrome (322113141311223).

The spelling of 112012120101012 in words is "one hundred twelve trillion, twelve billion, one hundred twenty million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 241 482 723 964 1446 2892 4097 8194 8831 12291 16388 17662 24582 26493 35324 49164 52986 105972 150127 257993 300254 450381 515986 600508 773979 900762 1031972 1547958 1801524 2128271 3095916 4256542 4385881 6384813 8513084 8771762 12769626 13157643 17543524 25539252 26315286 36180607 52630572 62176313 72361214 108541821 124352626 144722428 186528939 217083642 248705252 373057878 434167284 746115756 1056997321 2113994642 2278336183 3170991963 4227989284 4556672366 6341983926 6835008549 9113344732 12683967852 13670017098 27340034196 38731715111 77463430222 116195145333 154926860444 232390290666 464780581332 549079020103 1098158040206 1647237060309 2196316080412 3294474120618 6588948241236 9334343341751 18668686683502 28003030025253 37337373367004 56006060050506 112012120101012