12092107104 has 432 divisors, whose sum is σ = 44387690256. Its totient is φ = 3086899200.

The previous prime is 12092107073. The next prime is 12092107127. The reversal of 12092107104 is 40170129021.

12092107104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9468514 + ... + 9469790.

It is an arithmetic number, because the mean of its divisors is an integer number (102749283).

Almost surely, 2^12092107104 is an apocalyptic number.

12092107104 is a gapful number since it is divisible by the number (14) 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 12092107104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22193845128).

12092107104 is an abundant number, since it is smaller than the sum of its proper divisors (32295583152).

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

12092107104 is a wasteful number, since it uses less digits than its factorization.

12092107104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 12092107104 in words is "twelve billion, ninety-two million, one hundred seven thousand, one hundred four".