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12912520320 = 2732574173107
BaseRepresentation
bin11000000011010010…
…10110110010000000
31020022220011222220100
430001221112302000
5202421101122240
65533144042400
7634661416560
oct140151266200
936286158810
1012912520320
1155268656a7
122604463400
1312aa222c8b
148a6cb6da0
15508921e30
hex301a56c80

12912520320 has 768 divisors, whose sum is σ = 53410855680. Its totient is φ = 2813460480.

The previous prime is 12912520297. The next prime is 12912520331. The reversal of 12912520320 is 2302521921.

It is a happy number.

12912520320 is a `hidden beast` number, since 1 + 2 + 91 + 252 + 0 + 320 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 120677707 + ... + 120677813.

It is an arithmetic number, because the mean of its divisors is an integer number (69545385).

Almost surely, 212912520320 is an apocalyptic number.

12912520320 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 12912520320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26705427840).

12912520320 is an abundant number, since it is smaller than the sum of its proper divisors (40498335360).

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

12912520320 is a wasteful number, since it uses less digits than its factorization.

12912520320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 12912520320 in words is "twelve billion, nine hundred twelve million, five hundred twenty thousand, three hundred twenty".