12508704000 has 648 divisors, whose sum is σ = 48928245912. Its totient is φ = 3067084800.

The previous prime is 12508703969. The next prime is 12508704001. The reversal of 12508704000 is 40780521.

12508704000 is a `hidden beast` number, since 1 + 250 + 8 + 7 + 0 + 400 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 9503910144 + 3004793856 = 97488^2 + 54816^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12508704001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48671872 + ... + 48672128.

Almost surely, 2^12508704000 is an apocalyptic number.

12508704000 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 12508704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24464122956).

12508704000 is an abundant number, since it is smaller than the sum of its proper divisors (36419541912).

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

12508704000 is a wasteful number, since it uses less digits than its factorization.

12508704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 12508704000 in words is "twelve billion, five hundred eight million, seven hundred four thousand".