12304298916000 has 576 divisors, whose sum is σ = 53745191974656. Its totient is φ = 2596071168000.

The previous prime is 12304298915947. The next prime is 12304298916037. The reversal of 12304298916000 is 61989240321.

12304298916000 is a `hidden beast` number, since 1 + 2 + 30 + 4 + 2 + 9 + 8 + 9 + 1 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1398055 + ... + 5153945.

It is an arithmetic number, because the mean of its divisors is an integer number (93307624956).

Almost surely, 2^{12304298916000} is an apocalyptic number.

12304298916000 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 12304298916000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26872595987328).

12304298916000 is an abundant number, since it is smaller than the sum of its proper divisors (41440893058656).

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

12304298916000 is a wasteful number, since it uses less digits than its factorization.

12304298916000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3755942 (or 3755921 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 12304298916000 in words is "twelve trillion, three hundred four billion, two hundred ninety-eight million, nine hundred sixteen thousand".