12124372896 has 240 divisors, whose sum is σ = 37275555240. Its totient is φ = 3861043200.

The previous prime is 12124372889. The next prime is 12124372937. The reversal of 12124372896 is 69827342121.

12124372896 is a `hidden beast` number, since 121 + 2 + 437 + 2 + 8 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11393427600 + 730945296 = 106740^2 + 27036^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7591170 + ... + 7592766.

Almost surely, 2^12124372896 is an apocalyptic number.

12124372896 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 12124372896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18637777620).

12124372896 is an abundant number, since it is smaller than the sum of its proper divisors (25151182344).

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

12124372896 is a wasteful number, since it uses less digits than its factorization.

12124372896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749 (or 1732 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 12124372896 in words is "twelve billion, one hundred twenty-four million, three hundred seventy-two thousand, eight hundred ninety-six".