12137029662976 has 27 divisors (see below), whose sum is σ = 24226760318971. Its totient is φ = 6068486960896.

The previous prime is 12137029662959. The next prime is 12137029662977. The reversal of 12137029662976 is 67926692073121.

It is a happy number.

The square root of 12137029662976 is 3483824.

It is a perfect power (a square), and thus also a powerful number.

12137029662976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12137029662976² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12137029662977) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 55632315 + ... + 55850053.

Almost surely, 2^{12137029662976} is an apocalyptic number.

12137029662976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12137029662976 is the 3483824-th square number.

It is an amenable number.

12137029662976 is a deficient number, since it is larger than the sum of its proper divisors (12089730655995).

12137029662976 is an frugal number, since it uses more digits than its factorization.

12137029662976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435494 (or 217741 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 61.

The spelling of 12137029662976 in words is "twelve trillion, one hundred thirty-seven billion, twenty-nine million, six hundred sixty-two thousand, nine hundred seventy-six".