12300538976000 has 288 divisors, whose sum is σ = 33574025983680. Its totient is φ = 4453361664000.

The previous prime is 12300538975981. The next prime is 12300538976039. The reversal of 12300538976000 is 67983500321.

It is a super-3 number, since 3×12300538976000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80531702 + ... + 80684298.

It is an arithmetic number, because the mean of its divisors is an integer number (116576479110).

Almost surely, 2^{12300538976000} is an apocalyptic number.

12300538976000 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 12300538976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16787012991840).

12300538976000 is an abundant number, since it is smaller than the sum of its proper divisors (21273487007680).

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

12300538976000 is a wasteful number, since it uses less digits than its factorization.

12300538976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152868 (or 152844 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 44.

The spelling of 12300538976000 in words is "twelve trillion, three hundred billion, five hundred thirty-eight million, nine hundred seventy-six thousand".