12504406968 has 128 divisors (see below), whose sum is σ = 35315481600. Its totient is φ = 4098729600.

The previous prime is 12504406951. The next prime is 12504406973. The reversal of 12504406968 is 86960440521.

12504406968 is a `hidden beast` number, since 12 + 504 + 40 + 6 + 96 + 8 = 666.

12504406968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7713198 + ... + 7714818.

It is an arithmetic number, because the mean of its divisors is an integer number (275902200).

Almost surely, 2^12504406968 is an apocalyptic number.

12504406968 is a gapful number since it is divisible by the number (18) 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 12504406968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17657740800).

12504406968 is an abundant number, since it is smaller than the sum of its proper divisors (22811074632).

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

12504406968 is a wasteful number, since it uses less digits than its factorization.

12504406968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 12504406968 in words is "twelve billion, five hundred four million, four hundred six thousand, nine hundred sixty-eight".