12415057252800 has 336 divisors, whose sum is σ = 41436880905600. Its totient is φ = 3253407641600.

The previous prime is 12415057252789. The next prime is 12415057252849. The reversal of 12415057252800 is 825275051421.

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, 1036222810 + ... + 1036234790.

Almost surely, 2^{12415057252800} is an apocalyptic number.

12415057252800 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 12415057252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20718440452800).

12415057252800 is an abundant number, since it is smaller than the sum of its proper divisors (29021823652800).

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

12415057252800 is a wasteful number, since it uses less digits than its factorization.

12415057252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15724 (or 15709 counting only the distinct ones).

The product of its (nonzero) digits is 224000, while the sum is 42.

The spelling of 12415057252800 in words is "twelve trillion, four hundred fifteen billion, fifty-seven million, two hundred fifty-two thousand, eight hundred".