12965766756921 has 48 divisors (see below), whose sum is σ = 20496827070720. Its totient is φ = 7832726667360.

The previous prime is 12965766756889. The next prime is 12965766756937.

It is a happy number.

12965766756921 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 57 + 6 + 6 + 7 + 569 + 2 + 1 = 666.

12965766756921 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12965766756921 - 2⁵ = 12965766756889 is a prime.

It is a super-2 number, since 2×12965766756921² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12965766756921.

It is not an unprimeable number, because it can be changed into a prime (12965766756991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38127186 + ... + 38465748.

It is an arithmetic number, because the mean of its divisors is an integer number (427017230640).

Almost surely, 2^{12965766756921} is an apocalyptic number.

12965766756921 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12965766756921 is a deficient number, since it is larger than the sum of its proper divisors (7531060313799).

12965766756921 is a wasteful number, since it uses less digits than its factorization.

12965766756921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339826 (or 339823 counting only the distinct ones).

The product of its digits is 514382400, while the sum is 72.

The spelling of 12965766756921 in words is "twelve trillion, nine hundred sixty-five billion, seven hundred sixty-six million, seven hundred fifty-six thousand, nine hundred twenty-one".