12457108224 has 432 divisors, whose sum is σ = 42960546720. Its totient is φ = 3426877440.

The previous prime is 12457108201. The next prime is 12457108243. The reversal of 12457108224 is 42280175421.

12457108224 is a `hidden beast` number, since 1 + 2 + 4 + 571 + 0 + 82 + 2 + 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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12494094 + ... + 12495090.

It is an arithmetic number, because the mean of its divisors is an integer number (99445710).

Almost surely, 2^12457108224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12457108224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21480273360).

12457108224 is an abundant number, since it is smaller than the sum of its proper divisors (30503438496).

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

12457108224 is a wasteful number, since it uses less digits than its factorization.

12457108224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 12457108224 in words is "twelve billion, four hundred fifty-seven million, one hundred eight thousand, two hundred twenty-four".