12502305801216 has 2376 divisors, whose sum is σ = 49596456899808. Its totient is φ = 3110200934400.

The previous prime is 12502305801179. The next prime is 12502305801269. The reversal of 12502305801216 is 61210850320521.

12502305801216 is a `hidden beast` number, since 1 + 2 + 50 + 2 + 3 + 0 + 580 + 1 + 21 + 6 = 666.

12502305801216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2376).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 128889750480 + ... + 128889750576.

Almost surely, 2^{12502305801216} is an apocalyptic number.

12502305801216 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 12502305801216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24798228449904).

12502305801216 is an abundant number, since it is smaller than the sum of its proper divisors (37094151098592).

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

12502305801216 is an equidigital number, since it uses as much as digits as its factorization.

12502305801216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 12502305801216 in words is "twelve trillion, five hundred two billion, three hundred five million, eight hundred one thousand, two hundred sixteen".