12330584985600 has 1248 divisors, whose sum is σ = 51982219591680. Its totient is φ = 2806824960000.

The previous prime is 12330584985581. The next prime is 12330584985623. The reversal of 12330584985600 is 658948503321.

12330584985600 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 0 + 584 + 9 + 8 + 56 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5244824425 + ... + 5244826775.

Almost surely, 2^{12330584985600} is an apocalyptic number.

12330584985600 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 12330584985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25991109795840).

12330584985600 is an abundant number, since it is smaller than the sum of its proper divisors (39651634606080).

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

12330584985600 is a wasteful number, since it uses less digits than its factorization.

12330584985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2672 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 12330584985600 in words is "twelve trillion, three hundred thirty billion, five hundred eighty-four million, nine hundred eighty-five thousand, six hundred".