12574292352000 has 1408 divisors, whose sum is σ = 46263389552640. Its totient is φ = 3017303654400.

The previous prime is 12574292351987. The next prime is 12574292352019. The reversal of 12574292352000 is 25329247521.

12574292352000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12574292352000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24042623739 + ... + 24042624261.

Almost surely, 2^{12574292352000} is an apocalyptic number.

12574292352000 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 12574292352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23131694776320).

12574292352000 is an abundant number, since it is smaller than the sum of its proper divisors (33689097200640).

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

12574292352000 is a wasteful number, since it uses less digits than its factorization.

12574292352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 12574292352000 in words is "twelve trillion, five hundred seventy-four billion, two hundred ninety-two million, three hundred fifty-two thousand".