12521607696000 has 2048 divisors, whose sum is σ = 52608890880000. Its totient is φ = 2901878784000.

The previous prime is 12521607695969. The next prime is 12521607696007. The reversal of 12521607696000 is 69670612521.

12521607696000 is a `hidden beast` number, since 1 + 2 + 521 + 6 + 0 + 7 + 69 + 60 + 0 + 0 = 666.

12521607696000 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 (45).

It is not an unprimeable number, because it can be changed into a prime (12521607696007) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 25502255755 + ... + 25502256245.

It is an arithmetic number, because the mean of its divisors is an integer number (25687935000).

Almost surely, 2^{12521607696000} is an apocalyptic number.

12521607696000 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 12521607696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26304445440000).

12521607696000 is an abundant number, since it is smaller than the sum of its proper divisors (40087283184000).

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

12521607696000 is a wasteful number, since it uses less digits than its factorization.

12521607696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 12521607696000 in words is "twelve trillion, five hundred twenty-one billion, six hundred seven million, six hundred ninety-six thousand".