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102201212022012 = 2232122919871162529
BaseRepresentation
bin10111001111001110010010…
…111100000010110011111100
3111101212100012012002011101100
4113033032102330002303330
5101343431040234201022
61001210331051413100
730345536210463225
oct2717162274026374
9441770165064340
10102201212022012
112a623321896244
12b567343154190
1345046c0b3c96c
141b347ca72224c
15bc374c3341ac
hex5cf392f02cfc

102201212022012 has 72 divisors (see below), whose sum is σ = 258682502005200. Its totient is φ = 34022191039488.

The previous prime is 102201212021903. The next prime is 102201212022047. The reversal of 102201212022012 is 210220212102201.

It is a happy number.

102201212022012 is a `hidden beast` number, since 1 + 0 + 220 + 1 + 212 + 0 + 220 + 12 = 666.

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 23 ways as a sum of consecutive naturals, for example, 87331564 + ... + 88494092.

It is an arithmetic number, because the mean of its divisors is an integer number (3592812527850).

Almost surely, 2102201212022012 is an apocalyptic number.

102201212022012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102201212022012 is an abundant number, since it is smaller than the sum of its proper divisors (156481289983188).

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

102201212022012 is a wasteful number, since it uses less digits than its factorization.

102201212022012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165755 (or 1165750 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102201212022012 its reverse (210220212102201), we get a palindrome (312421424124213).

The spelling of 102201212022012 in words is "one hundred two trillion, two hundred one billion, two hundred twelve million, twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 1229 1987 2458 3687 3974 4916 5961 7374 7948 11061 11922 14748 17883 22122 23844 35766 44244 71532 1162529 2325058 2442023 3487587 4650116 4884046 6975174 7326069 9768092 10462761 13950348 14652138 20925522 21978207 29304276 41851044 43956414 87912828 1428748141 2309945123 2857496282 4286244423 4619890246 5714992564 6929835369 8572488846 9239780492 12858733269 13859670738 17144977692 20789506107 25717466538 27719341476 41579012214 51434933076 83158024428 2838922556167 5677845112334 8516767668501 11355690224668 17033535337002 25550303005503 34067070674004 51100606011006 102201212022012