12583136420832 has 24 divisors (see below), whose sum is σ = 33030733104936. Its totient is φ = 4194378806912.

The previous prime is 12583136420819. The next prime is 12583136420893. The reversal of 12583136420832 is 23802463138521.

12583136420832 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 (24).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65537168763 + ... + 65537168954.

It is an arithmetic number, because the mean of its divisors is an integer number (1376280546039).

Almost surely, 2^{12583136420832} is an apocalyptic number.

12583136420832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12583136420832 is an abundant number, since it is smaller than the sum of its proper divisors (20447596684104).

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

12583136420832 is a wasteful number, since it uses less digits than its factorization.

12583136420832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131074337730 (or 131074337722 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 12583136420832 in words is "twelve trillion, five hundred eighty-three billion, one hundred thirty-six million, four hundred twenty thousand, eight hundred thirty-two".