12393452952000 has 336 divisors, whose sum is σ = 45975433506912. Its totient is φ = 3304920268800.

The previous prime is 12393452951963. The next prime is 12393452952037. The reversal of 12393452952000 is 25925439321.

12393452952000 is a `hidden beast` number, since 1 + 2 + 3 + 93 + 452 + 95 + 20 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12393452951963) and next prime (12393452952037).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1243617 + ... + 5131616.

It is an arithmetic number, because the mean of its divisors is an integer number (136831647342).

Almost surely, 2^{12393452952000} is an apocalyptic number.

12393452952000 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 12393452952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22987716753456).

12393452952000 is an abundant number, since it is smaller than the sum of its proper divisors (33581980554912).

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

12393452952000 is an frugal number, since it uses more digits than its factorization.

12393452952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6375275 (or 6375243 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 12393452952000 in words is "twelve trillion, three hundred ninety-three billion, four hundred fifty-two million, nine hundred fifty-two thousand".