12506637096072 has 320 divisors, whose sum is σ = 43973799091200. Its totient is φ = 3238069633920.

The previous prime is 12506637096001. The next prime is 12506637096073. The reversal of 12506637096072 is 27069073660521.

12506637096072 is a `hidden beast` number, since 1 + 2 + 506 + 6 + 3 + 7 + 0 + 9 + 60 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12506637096073) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1172454 + ... + 5136917.

It is an arithmetic number, because the mean of its divisors is an integer number (137418122160).

Almost surely, 2^{12506637096072} is an apocalyptic number.

12506637096072 is a gapful number since it is divisible by the number (12) 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 12506637096072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21986899545600).

12506637096072 is an abundant number, since it is smaller than the sum of its proper divisors (31467161995128).

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

12506637096072 is a wasteful number, since it uses less digits than its factorization.

12506637096072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6309438 (or 6309425 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 12506637096072 in words is "twelve trillion, five hundred six billion, six hundred thirty-seven million, ninety-six thousand, seventy-two".