12609181973104 has 20 divisors (see below), whose sum is σ = 25218363947200. Its totient is φ = 6101217083520.

The previous prime is 12609181973083. The next prime is 12609181973119. The reversal of 12609181973104 is 40137918190621.

12609181973104 is an admirable number.

It is a super-3 number, since 3×12609181973104³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12710868429 + ... + 12710869420.

It is an arithmetic number, because the mean of its divisors is an integer number (1260918197360).

Almost surely, 2^{12609181973104} is an apocalyptic number.

It is an amenable number.

12609181973104 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

12609181973104 is a wasteful number, since it uses less digits than its factorization.

12609181973104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25421737888 (or 25421737882 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 52.

The spelling of 12609181973104 in words is "twelve trillion, six hundred nine billion, one hundred eighty-one million, nine hundred seventy-three thousand, one hundred four".