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112111102122012 = 22337919161365733
BaseRepresentation
bin11001011111011011100110…
…011010101101100000011100
3112200221201100110122012122000
4121133123212122231200130
5104143312014120401022
61034235043532522300
732420521423500030
oct3137334632554034
9480851313565560
10112111102122012
11327a4062465724
12106a7a71320390
134a73054477216
141d982c61061c0
15ce640143c6ac
hex65f6e66ad81c

112111102122012 has 96 divisors (see below), whose sum is σ = 332542504627200. Its totient is φ = 31996888266816.

The previous prime is 112111102122001. The next prime is 112111102122029. The reversal of 112111102122012 is 210221201111211.

It is a happy number.

112111102122012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79988103 + ... + 81377630.

It is an arithmetic number, because the mean of its divisors is an integer number (3463984423200).

Almost surely, 2112111102122012 is an apocalyptic number.

112111102122012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112111102122012 is an abundant number, since it is smaller than the sum of its proper divisors (220431402505188).

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

112111102122012 is a wasteful number, since it uses less digits than its factorization.

112111102122012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161366672 (or 161366664 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112111102122012 its reverse (210221201111211), we get a palindrome (322332303233223).

The spelling of 112111102122012 in words is "one hundred twelve trillion, one hundred eleven billion, one hundred two million, one hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 919 1838 2757 3676 5514 6433 8271 11028 12866 16542 19299 24813 25732 33084 38598 49626 57897 77196 99252 115794 173691 231588 347382 694764 161365733 322731466 484097199 645462932 968194398 1129560131 1452291597 1936388796 2259120262 2904583194 3388680393 4356874791 4518240524 5809166388 6777360786 8713749582 10166041179 13554721572 17427499164 20332082358 30498123537 40664164716 60996247074 121992494148 148295108627 296590217254 444885325881 593180434508 889770651762 1038065760389 1334655977643 1779541303524 2076131520778 2669311955286 3114197281167 4003967932929 4152263041556 5338623910572 6228394562334 8007935865858 9342591843501 12456789124668 16015871731716 18685183687002 28027775530503 37370367374004 56055551061006 112111102122012