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12151105436204 = 22721714924475103
BaseRepresentation
bin1011000011010010011001…
…0100101011101000101100
31121000122010102121121001122
42300310212110223220230
53043040430442424304
641502050224000112
72362613502020600
oct260644624535054
947018112547048
1012151105436204
113965289270599
121442b70760038
136a1ac8ca41b7
1430018c0c5500
15161128aab9be
hexb0d2652ba2c

12151105436204 has 72 divisors (see below), whose sum is σ = 26367029539200. Its totient is φ = 4868391489024.

The previous prime is 12151105436189. The next prime is 12151105436269. The reversal of 12151105436204 is 40263450115121.

It is a happy number.

It is a super-2 number, since 2×121511054362042 (a number of 27 digits) contains 22 as substring.

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, 11741084 + ... + 12734019.

It is an arithmetic number, because the mean of its divisors is an integer number (366208743600).

Almost surely, 212151105436204 is an apocalyptic number.

12151105436204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12151105436204 is an abundant number, since it is smaller than the sum of its proper divisors (14215924102996).

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

12151105436204 is a wasteful number, since it uses less digits than its factorization.

12151105436204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24475287 (or 24475278 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 12151105436204 in words is "twelve trillion, one hundred fifty-one billion, one hundred five million, four hundred thirty-six thousand, two hundred four".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 149 196 238 298 476 596 833 1043 1666 2086 2533 3332 4172 5066 7301 10132 14602 17731 29204 35462 70924 124117 248234 496468 24475103 48950206 97900412 171325721 342651442 416076751 685302884 832153502 1199280047 1664307004 2398560094 2912537257 3646790347 4797120188 5825074514 7293580694 11650149028 14587161388 20387760799 25527532429 40775521598 51055064858 61995435899 81551043196 102110129716 123990871798 178692727003 247981743596 357385454006 433968051293 714770908012 867936102586 1735872205172 3037776359051 6075552718102 12151105436204