12500414521504 has 192 divisors, whose sum is σ = 30514181725440. Its totient is φ = 4908662415360.

The previous prime is 12500414521457. The next prime is 12500414521531. The reversal of 12500414521504 is 40512541400521.

It is a self number, because there is not a number n which added to its sum of digits gives 12500414521504.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220698372 + ... + 220755004.

It is an arithmetic number, because the mean of its divisors is an integer number (158928029820).

Almost surely, 2^{12500414521504} is an apocalyptic number.

12500414521504 is a gapful number since it is divisible by the number (14) 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 12500414521504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15257090862720).

12500414521504 is an abundant number, since it is smaller than the sum of its proper divisors (18013767203936).

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

12500414521504 is a wasteful number, since it uses less digits than its factorization.

12500414521504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57223 (or 57215 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 34.

The spelling of 12500414521504 in words is "twelve trillion, five hundred billion, four hundred fourteen million, five hundred twenty-one thousand, five hundred four".