12520368000 has 384 divisors, whose sum is σ = 51391304640. Its totient is φ = 2861568000.

The previous prime is 12520367971. The next prime is 12520368001. The reversal of 12520368000 is 86302521.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×12520368000² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12520368001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1001790 + ... + 1014210.

Almost surely, 2^12520368000 is an apocalyptic number.

12520368000 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 12520368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25695652320).

12520368000 is an abundant number, since it is smaller than the sum of its proper divisors (38870936640).

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

12520368000 is a wasteful number, since it uses less digits than its factorization.

12520368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12463 (or 12438 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 12520368000 in words is "twelve billion, five hundred twenty million, three hundred sixty-eight thousand".