12564113161124 has 72 divisors (see below), whose sum is σ = 25709212462752. Its totient is φ = 5356843873920.

The previous prime is 12564113160971. The next prime is 12564113161153. The reversal of 12564113161124 is 42116131146521.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 30089744 + ... + 30504440.

It is an arithmetic number, because the mean of its divisors is an integer number (357072395316).

Almost surely, 2^{12564113161124} is an apocalyptic number.

12564113161124 is a gapful number since it is divisible by the number (14) 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 12564113161124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12854606231376).

12564113161124 is an abundant number, since it is smaller than the sum of its proper divisors (13145099301628).

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

12564113161124 is a wasteful number, since it uses less digits than its factorization.

12564113161124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415513 (or 415504 counting only the distinct ones).

The product of its digits is 34560, while the sum is 38.

The spelling of 12564113161124 in words is "twelve trillion, five hundred sixty-four billion, one hundred thirteen million, one hundred sixty-one thousand, one hundred twenty-four".