12406629182976 has 120 divisors (see below), whose sum is σ = 40921567939824. Its totient is φ = 3544751185920.

The previous prime is 12406629182971. The next prime is 12406629182989. The reversal of 12406629182976 is 67928192660421.

12406629182976 is a `hidden beast` number, since 1 + 2 + 406 + 62 + 9 + 1 + 82 + 97 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12406629182971) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 192282805 + ... + 192347316.

Almost surely, 2^{12406629182976} is an apocalyptic number.

12406629182976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12406629182976 is an abundant number, since it is smaller than the sum of its proper divisors (28514938756848).

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

12406629182976 is an equidigital number, since it uses as much as digits as its factorization.

12406629182976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384630152 (or 384630133 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 12406629182976 in words is "twelve trillion, four hundred six billion, six hundred twenty-nine million, one hundred eighty-two thousand, nine hundred seventy-six".