12936680561872 has 80 divisors (see below), whose sum is σ = 26601750035280. Its totient is φ = 6083746099200.

The previous prime is 12936680561863. The next prime is 12936680561873. The reversal of 12936680561872 is 27816508663921.

It can be written as a sum of positive squares in 8 ways, for example, as 1148335132816 + 11788345429056 = 1071604^2 + 3433416^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12936680561873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12060478 + ... + 13089250.

It is an arithmetic number, because the mean of its divisors is an integer number (332521875441).

Almost surely, 2^{12936680561872} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12936680561872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13300875017640).

12936680561872 is an abundant number, since it is smaller than the sum of its proper divisors (13665069473408).

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

12936680561872 is a wasteful number, since it uses less digits than its factorization.

12936680561872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029512 (or 1029506 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 64.

The spelling of 12936680561872 in words is "twelve trillion, nine hundred thirty-six billion, six hundred eighty million, five hundred sixty-one thousand, eight hundred seventy-two".