12536994412800 has 6048 divisors, whose sum is σ = 61433597998080. Its totient is φ = 2483144294400.

The previous prime is 12536994412769. The next prime is 12536994412807. The reversal of 12536994412800 is 821449963521.

It is a happy number.

12536994412800 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 69 + 94 + 412 + 80 + 0 = 666.

12536994412800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12536994412807) by changing a digit.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 291558009579 + ... + 291558009621.

Almost surely, 2^{12536994412800} is an apocalyptic number.

12536994412800 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 12536994412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30716798999040).

12536994412800 is an abundant number, since it is smaller than the sum of its proper divisors (48896603585280).

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

12536994412800 is a wasteful number, since it uses less digits than its factorization.

12536994412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 12536994412800 in words is "twelve trillion, five hundred thirty-six billion, nine hundred ninety-four million, four hundred twelve thousand, eight hundred".