12584242302912 has 168 divisors, whose sum is σ = 43035398074320. Its totient is φ = 3595497776640.

The previous prime is 12584242302799. The next prime is 12584242302913. The reversal of 12584242302912 is 21920324248521.

12584242302912 is a `hidden beast` number, since 1 + 2 + 584 + 2 + 4 + 2 + 30 + 29 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12584242302913) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74227039 + ... + 74396382.

Almost surely, 2^{12584242302912} is an apocalyptic number.

12584242302912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12584242302912 is an abundant number, since it is smaller than the sum of its proper divisors (30451155771408).

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

12584242302912 is a wasteful number, since it uses less digits than its factorization.

12584242302912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148623456 (or 148623433 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 12584242302912 in words is "twelve trillion, five hundred eighty-four billion, two hundred forty-two million, three hundred two thousand, nine hundred twelve".