12651083424 has 432 divisors, whose sum is σ = 45599954400. Its totient is φ = 3304240128.

The previous prime is 12651083413. The next prime is 12651083441. The reversal of 12651083424 is 42438015621.

It is a happy number.

12651083424 is a `hidden beast` number, since 1 + 26 + 510 + 83 + 42 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7774899 + ... + 7776525.

It is an arithmetic number, because the mean of its divisors is an integer number (105555450).

Almost surely, 2^12651083424 is an apocalyptic number.

12651083424 is a gapful number since it is divisible by the number (14) 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 12651083424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22799977200).

12651083424 is an abundant number, since it is smaller than the sum of its proper divisors (32948870976).

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

12651083424 is a wasteful number, since it uses less digits than its factorization.

12651083424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 12651083424 in words is "twelve billion, six hundred fifty-one million, eighty-three thousand, four hundred twenty-four".