12937381696512 has 1408 divisors, whose sum is σ = 50957133696000. Its totient is φ = 3210827268096.

The previous prime is 12937381696501. The next prime is 12937381696531. The reversal of 12937381696512 is 21569618373921.

12937381696512 is a `hidden beast` number, since 1 + 2 + 9 + 37 + 3 + 81 + 6 + 9 + 6 + 512 = 666.

It is a super-2 number, since 2×12937381696512² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 12937381696512.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2095798258 + ... + 2095804430.

Almost surely, 2^{12937381696512} is an apocalyptic number.

12937381696512 is a gapful number since it is divisible by the number (12) 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 12937381696512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25478566848000).

12937381696512 is an abundant number, since it is smaller than the sum of its proper divisors (38019751999488).

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

12937381696512 is a wasteful number, since it uses less digits than its factorization.

12937381696512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6253 (or 6215 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 63.

The spelling of 12937381696512 in words is "twelve trillion, nine hundred thirty-seven billion, three hundred eighty-one million, six hundred ninety-six thousand, five hundred twelve".