12251715840 has 1296 divisors, whose sum is σ = 56018027520. Its totient is φ = 2415329280.

The previous prime is 12251715823. The next prime is 12251715857. The reversal of 12251715840 is 4851715221.

It is a happy number.

12251715840 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 1 + 71 + 584 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12251715823) and next prime (12251715857).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 12251715795 and 12251715804.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 395216625 + ... + 395216655.

Almost surely, 2^12251715840 is an apocalyptic number.

12251715840 is a gapful number since it is divisible by the number (10) 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 12251715840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28009013760).

12251715840 is an abundant number, since it is smaller than the sum of its proper divisors (43766311680).

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

12251715840 is a wasteful number, since it uses less digits than its factorization.

12251715840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 12251715840 in words is "twelve billion, two hundred fifty-one million, seven hundred fifteen thousand, eight hundred forty".