12501264640560 has 160 divisors (see below), whose sum is σ = 39095388776640. Its totient is φ = 3304421720064.

The previous prime is 12501264640499. The next prime is 12501264640577. The reversal of 12501264640560 is 6504646210521.

It is a super-2 number, since 2×12501264640560² (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 31 ways as a sum of consecutive naturals, for example, 12343476 + ... + 13317804.

It is an arithmetic number, because the mean of its divisors is an integer number (244346179854).

Almost surely, 2^{12501264640560} is an apocalyptic number.

12501264640560 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 12501264640560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19547694388320).

12501264640560 is an abundant number, since it is smaller than the sum of its proper divisors (26594124136080).

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

12501264640560 is a wasteful number, since it uses less digits than its factorization.

12501264640560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974815 (or 974809 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 12501264640560 in words is "twelve trillion, five hundred one billion, two hundred sixty-four million, six hundred forty thousand, five hundred sixty".