12002100312192 has 64 divisors (see below), whose sum is σ = 31885351898400. Its totient is φ = 4000101146624.

The previous prime is 12002100312161. The next prime is 12002100312193. The reversal of 12002100312192 is 29121300120021.

12002100312192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12002100312193) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 232243 + ... + 4904909.

Almost surely, 2^{12002100312192} is an apocalyptic number.

12002100312192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12002100312192 is an abundant number, since it is smaller than the sum of its proper divisors (19883251586208).

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

12002100312192 is an equidigital number, since it uses as much as digits as its factorization.

12002100312192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4679373 (or 4679361 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The spelling of 12002100312192 in words is "twelve trillion, two billion, one hundred million, three hundred twelve thousand, one hundred ninety-two".