12413252800 has 252 divisors, whose sum is σ = 34236781920. Its totient is φ = 4422512640.

The previous prime is 12413252773. The next prime is 12413252849. The reversal of 12413252800 is 825231421.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7840809 + ... + 7842391.

Almost surely, 2^12413252800 is an apocalyptic number.

12413252800 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 12413252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17118390960).

12413252800 is an abundant number, since it is smaller than the sum of its proper divisors (21823529120).

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

12413252800 is a wasteful number, since it uses less digits than its factorization.

12413252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The spelling of 12413252800 in words is "twelve billion, four hundred thirteen million, two hundred fifty-two thousand, eight hundred".