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12104279460 = 223257131922389
BaseRepresentation
bin10110100010111100…
…01010010110100100
31011020120100002212200
423101132022112210
5144242143420320
65321032414500
7605645451330
oct132136122644
934216302780
1012104279460
115151606349
122419847430
1311ab946150
1482b8047c0
154ac9bd290
hex2d178a5a4

12104279460 has 864 divisors, whose sum is σ = 50325649920. Its totient is φ = 2288259072.

The previous prime is 12104279417. The next prime is 12104279501. The reversal of 12104279460 is 6497240121.

It is a happy number.

12104279460 is a `hidden beast` number, since 121 + 0 + 4 + 2 + 79 + 460 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 136003096 + ... + 136003184.

It is an arithmetic number, because the mean of its divisors is an integer number (58247280).

Almost surely, 212104279460 is an apocalyptic number.

12104279460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12104279460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25162824960).

12104279460 is an abundant number, since it is smaller than the sum of its proper divisors (38221370460).

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

12104279460 is a wasteful number, since it uses less digits than its factorization.

12104279460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 12104279460 in words is "twelve billion, one hundred four million, two hundred seventy-nine thousand, four hundred sixty".