12332107953000 has 1024 divisors, whose sum is σ = 47104177536000. Its totient is φ = 2959875072000.

The previous prime is 12332107952971. The next prime is 12332107953127. The reversal of 12332107953000 is 35970123321.

It is a happy number.

12332107953000 is a `hidden beast` number, since 1 + 2 + 33 + 21 + 0 + 79 + 530 + 0 + 0 = 666.

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 255 ways as a sum of consecutive naturals, for example, 19987208692 + ... + 19987209308.

It is an arithmetic number, because the mean of its divisors is an integer number (46000173375).

Almost surely, 2^{12332107953000} is an apocalyptic number.

12332107953000 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 12332107953000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23552088768000).

12332107953000 is an abundant number, since it is smaller than the sum of its proper divisors (34772069583000).

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

12332107953000 is a wasteful number, since it uses less digits than its factorization.

12332107953000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 12332107953000 in words is "twelve trillion, three hundred thirty-two billion, one hundred seven million, nine hundred fifty-three thousand".