12568403024100 has 1728 divisors, whose sum is σ = 53369104158720. Its totient is φ = 2507099212800.

The previous prime is 12568403024041. The next prime is 12568403024101. The reversal of 12568403024100 is 142030486521.

It is a happy number.

12568403024100 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 8 + 403 + 0 + 241 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12568403024101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3625150567 + ... + 3625154033.

It is an arithmetic number, because the mean of its divisors is an integer number (30884898240).

Almost surely, 2^{12568403024100} is an apocalyptic number.

12568403024100 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 12568403024100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26684552079360).

12568403024100 is an abundant number, since it is smaller than the sum of its proper divisors (40800701134620).

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

12568403024100 is a wasteful number, since it uses less digits than its factorization.

12568403024100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3615 (or 3595 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 12568403024100 in words is "twelve trillion, five hundred sixty-eight billion, four hundred three million, twenty-four thousand, one hundred".