12612013560 has 192 divisors, whose sum is σ = 41909568480. Its totient is φ = 3288130560.

The previous prime is 12612013559. The next prime is 12612013627. The reversal of 12612013560 is 6531021621.

12612013560 is a `hidden beast` number, since 12 + 61 + 20 + 13 + 560 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6314482 + ... + 6316478.

Almost surely, 2^12612013560 is an apocalyptic number.

12612013560 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 12612013560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20954784240).

12612013560 is an abundant number, since it is smaller than the sum of its proper divisors (29297554920).

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

12612013560 is a wasteful number, since it uses less digits than its factorization.

12612013560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398 (or 2391 counting only the distinct ones).

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

The spelling of 12612013560 in words is "twelve billion, six hundred twelve million, thirteen thousand, five hundred sixty".