12506232307536 has 640 divisors, whose sum is σ = 40292221132800. Its totient is φ = 3681889136640.

The previous prime is 12506232307489. The next prime is 12506232307567. The reversal of 12506232307536 is 63570323260521.

12506232307536 is a `hidden beast` number, since 1 + 2 + 50 + 6 + 2 + 32 + 30 + 7 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12506232307491 and 12506232307500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17202520005 + ... + 17202520731.

It is an arithmetic number, because the mean of its divisors is an integer number (62956595520).

Almost surely, 2^{12506232307536} is an apocalyptic number.

12506232307536 is a gapful number since it is divisible by the number (16) 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 12506232307536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20146110566400).

12506232307536 is an abundant number, since it is smaller than the sum of its proper divisors (27785988825264).

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

12506232307536 is a wasteful number, since it uses less digits than its factorization.

12506232307536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The spelling of 12506232307536 in words is "twelve trillion, five hundred six billion, two hundred thirty-two million, three hundred seven thousand, five hundred thirty-six".