12331010764800 has 4680 divisors, whose sum is σ = 61506889744608. Its totient is φ = 2369676902400.

The previous prime is 12331010764789. The next prime is 12331010764847. The reversal of 12331010764800 is 846701013321.

It is a happy number.

12331010764800 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 1 + 0 + 1 + 0 + 7 + 648 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4680).

It is a super-2 number, since 2×12331010764800² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 397774540785 + ... + 397774540815.

Almost surely, 2^{12331010764800} is an apocalyptic number.

12331010764800 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 12331010764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30753444872304).

12331010764800 is an abundant number, since it is smaller than the sum of its proper divisors (49175878979808).

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

12331010764800 is a wasteful number, since it uses less digits than its factorization.

12331010764800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 12331010764800 in words is "twelve trillion, three hundred thirty-one billion, ten million, seven hundred sixty-four thousand, eight hundred".