12965228598160 has 80 divisors (see below), whose sum is σ = 30881948397552. Its totient is φ = 5059180544000.

The previous prime is 12965228598151. The next prime is 12965228598169. The reversal of 12965228598160 is 6189582256921.

12965228598160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12965228598151) and next prime (12965228598169).

It can be written as a sum of positive squares in 8 ways, for example, as 1580380865424 + 11384847732736 = 1257132^2 + 3374144^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 12965228598092 and 12965228598101.

It is not an unprimeable number, because it can be changed into a prime (12965228598169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40832010 + ... + 41148310.

Almost surely, 2^{12965228598160} is an apocalyptic number.

12965228598160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12965228598160 is an abundant number, since it is smaller than the sum of its proper divisors (17916719799392).

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

12965228598160 is a wasteful number, since it uses less digits than its factorization.

12965228598160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328852 (or 328846 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 64.

The spelling of 12965228598160 in words is "twelve trillion, nine hundred sixty-five billion, two hundred twenty-eight million, five hundred ninety-eight thousand, one hundred sixty".