12493811952000 has 1792 divisors, whose sum is σ = 48669257894400. Its totient is φ = 3184551936000.

The previous prime is 12493811951987. The next prime is 12493811952073. The reversal of 12493811952000 is 25911839421.

12493811952000 is a `hidden beast` number, since 1 + 2 + 4 + 9 + 3 + 8 + 119 + 520 + 0 + 0 = 666.

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 223 ways as a sum of consecutive naturals, for example, 39412655842 + ... + 39412656158.

Almost surely, 2^{12493811952000} is an apocalyptic number.

12493811952000 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 12493811952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24334628947200).

12493811952000 is an abundant number, since it is smaller than the sum of its proper divisors (36175445942400).

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

12493811952000 is an equidigital number, since it uses as much as digits as its factorization.

12493811952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 12493811952000 in words is "twelve trillion, four hundred ninety-three billion, eight hundred eleven million, nine hundred fifty-two thousand".