12099965976000 has 1120 divisors, whose sum is σ = 51880062034944. Its totient is φ = 2726680320000.

The previous prime is 12099965975947. The next prime is 12099965976061. The reversal of 12099965976000 is 67956999021.

12099965976000 is a `hidden beast` number, since 12 + 0 + 9 + 9 + 9 + 6 + 5 + 9 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 322037215 + ... + 322074785.

Almost surely, 2^{12099965976000} is an apocalyptic number.

12099965976000 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 12099965976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25940031017472).

12099965976000 is an abundant number, since it is smaller than the sum of its proper divisors (39780096058944).

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

12099965976000 is an equidigital number, since it uses as much as digits as its factorization.

12099965976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37688 (or 37659 counting only the distinct ones).

The product of its (nonzero) digits is 16533720, while the sum is 63.

The spelling of 12099965976000 in words is "twelve trillion, ninety-nine billion, nine hundred sixty-five million, nine hundred seventy-six thousand".