12105094120992 has 288 divisors, whose sum is σ = 35805456086400. Its totient is φ = 4022999820288.

The previous prime is 12105094120921. The next prime is 12105094121011. The reversal of 12105094120992 is 29902149050121.

12105094120992 is a `hidden beast` number, since 1 + 2 + 10 + 509 + 4 + 120 + 9 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×12105094120992² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4625560068 + ... + 4625562684.

It is an arithmetic number, because the mean of its divisors is an integer number (124324500300).

Almost surely, 2^{12105094120992} is an apocalyptic number.

12105094120992 is a gapful number since it is divisible by the number (12) 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 12105094120992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17902728043200).

12105094120992 is an abundant number, since it is smaller than the sum of its proper divisors (23700361965408).

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

12105094120992 is an equidigital number, since it uses as much as digits as its factorization.

12105094120992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4190 (or 4170 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 12105094120992 in words is "twelve trillion, one hundred five billion, ninety-four million, one hundred twenty thousand, nine hundred ninety-two".