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102212211000012 = 223188912959347951
BaseRepresentation
bin10111001111011000100010…
…100001110100001011001100
3111101220101120201121010200220
4113033120202201310023030
5101344121102004000022
61001215350321551340
730346405605321411
oct2717304241641314
9441811521533626
10102212211000012
112a627a56496203
12b5694b27a5550
13450575479a079
141b35151408108
15bc3b92c7085c
hex5cf6228742cc

102212211000012 has 48 divisors (see below), whose sum is σ = 238640513126400. Its totient is φ = 34049975027200.

The previous prime is 102212210999959. The next prime is 102212211000071. The reversal of 102212211000012 is 210000112212201.

It is a junction number, because it is equal to n+sod(n) for n = 102212210999955 and 102212211000000.

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, 293580637 + ... + 293928587.

It is an arithmetic number, because the mean of its divisors is an integer number (4971677356800).

Almost surely, 2102212211000012 is an apocalyptic number.

102212211000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102212211000012 is an abundant number, since it is smaller than the sum of its proper divisors (136428302126388).

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

102212211000012 is a wasteful number, since it uses less digits than its factorization.

102212211000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362806 (or 362804 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102212211000012 its reverse (210000112212201), we get a palindrome (312212323212213).

The spelling of 102212211000012 in words is "one hundred two trillion, two hundred twelve billion, two hundred eleven million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 1889 3778 5667 7556 11334 12959 22668 25918 38877 51836 77754 155508 347951 695902 1043853 1391804 2087706 4175412 24479551 48959102 73438653 97918204 146877306 293754612 657279439 1314558878 1971838317 2629117756 3943676634 4509097009 7887353268 9018194018 13527291027 18036388036 27054582054 54109164108 8517684250001 17035368500002 25553052750003 34070737000004 51106105500006 102212211000012