12429392976 has 900 divisors, whose sum is σ = 49664800416. Its totient is φ = 2935595520.

The previous prime is 12429392959. The next prime is 12429392977. The reversal of 12429392976 is 67929392421.

12429392976 is a `hidden beast` number, since 1 + 242 + 9 + 392 + 9 + 7 + 6 = 666.

12429392976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12429392977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 185513295 + ... + 185513361.

Almost surely, 2^12429392976 is an apocalyptic number.

12429392976 is a gapful number since it is divisible by the number (16) 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 12429392976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24832400208).

12429392976 is an abundant number, since it is smaller than the sum of its proper divisors (37235407440).

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

12429392976 is a wasteful number, since it uses less digits than its factorization.

12429392976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 103 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The spelling of 12429392976 in words is "twelve billion, four hundred twenty-nine million, three hundred ninety-two thousand, nine hundred seventy-six".