12251158824960 has 576 divisors, whose sum is σ = 46407124895040. Its totient is φ = 2964414136320.

The previous prime is 12251158824899. The next prime is 12251158824977. The reversal of 12251158824960 is 6942885115221.

It is a happy number.

12251158824960 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 11 + 588 + 2 + 49 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 12251158824897 and 12251158824906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 554515674 + ... + 554537766.

It is an arithmetic number, because the mean of its divisors is an integer number (80567925165).

Almost surely, 2^{12251158824960} is an apocalyptic number.

12251158824960 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 12251158824960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23203562447520).

12251158824960 is an abundant number, since it is smaller than the sum of its proper divisors (34155966070080).

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

12251158824960 is a wasteful number, since it uses less digits than its factorization.

12251158824960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22684 (or 22661 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 12251158824960 in words is "twelve trillion, two hundred fifty-one billion, one hundred fifty-eight million, eight hundred twenty-four thousand, nine hundred sixty".