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112211221022112 = 2534397727822877
BaseRepresentation
bin11001100000111000110101…
…111110000000010110100000
3112201022021202221000022011010
4121200320311332000112200
5104201432040040201422
61034353042344220520
732430664443216042
oct3140706576002640
9481267687008133
10112211221022112
1132832569a21173
1210703352a6a740
134a7c61b7b7044
141d9d0a2c77a92
15ce8d10d11b0c
hex660e35f805a0

112211221022112 has 96 divisors (see below), whose sum is σ = 301713069696192. Its totient is φ = 36496490655744.

The previous prime is 112211221022051. The next prime is 112211221022129. The reversal of 112211221022112 is 211220122112211.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9878383 + ... + 17944494.

It is an arithmetic number, because the mean of its divisors is an integer number (3142844476002).

Almost surely, 2112211221022112 is an apocalyptic number.

112211221022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112211221022112 is an abundant number, since it is smaller than the sum of its proper divisors (189501848674080).

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

112211221022112 is a wasteful number, since it uses less digits than its factorization.

112211221022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27823910 (or 27823902 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 112211221022112 its reverse (211220122112211), we get a palindrome (323431343134323).

The spelling of 112211221022112 in words is "one hundred twelve trillion, two hundred eleven billion, two hundred twenty-one million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 977 1032 1376 1954 2064 2931 3908 4128 5862 7816 11724 15632 23448 31264 42011 46896 84022 93792 126033 168044 252066 336088 504132 672176 1008264 1344352 2016528 4033056 27822877 55645754 83468631 111291508 166937262 222583016 333874524 445166032 667749048 890332064 1196383711 1335498096 2392767422 2670996192 3589151133 4785534844 7178302266 9571069688 14356604532 19142139376 27182950829 28713209064 38284278752 54365901658 57426418128 81548852487 108731803316 114852836256 163097704974 217463606632 326195409948 434927213264 652390819896 869854426528 1168866885647 1304781639792 2337733771294 2609563279584 3506600656941 4675467542588 7013201313882 9350935085176 14026402627764 18701870170352 28052805255528 37403740340704 56105610511056 112211221022112