12965023518720 has 2496 divisors, whose sum is σ = 55970012528640. Its totient is φ = 2488160747520.

The previous prime is 12965023518697. The next prime is 12965023518737. The reversal of 12965023518720 is 2781532056921.

It is a tau number, because it is divible by the number of its divisors (2496).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 102086799297 + ... + 102086799423.

Almost surely, 2^{12965023518720} is an apocalyptic number.

12965023518720 is a gapful number since it is divisible by the number (10) 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 12965023518720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27985006264320).

12965023518720 is an abundant number, since it is smaller than the sum of its proper divisors (43004989009920).

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

12965023518720 is a wasteful number, since it uses less digits than its factorization.

12965023518720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 12965023518720 in words is "twelve trillion, nine hundred sixty-five billion, twenty-three million, five hundred eighteen thousand, seven hundred twenty".