12109262627232 has 480 divisors, whose sum is σ = 37930603898880. Its totient is φ = 3783893667840.

The previous prime is 12109262627207. The next prime is 12109262627309. The reversal of 12109262627232 is 23272626290121.

12109262627232 is a `hidden beast` number, since 1 + 2 + 10 + 9 + 2 + 6 + 2 + 627 + 2 + 3 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 336415828 + ... + 336451820.

It is an arithmetic number, because the mean of its divisors is an integer number (79022091456).

Almost surely, 2^{12109262627232} is an apocalyptic number.

12109262627232 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 12109262627232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18965301949440).

12109262627232 is an abundant number, since it is smaller than the sum of its proper divisors (25821341271648).

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

12109262627232 is a wasteful number, since it uses less digits than its factorization.

12109262627232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36178 (or 36161 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 12109262627232 in words is "twelve trillion, one hundred nine billion, two hundred sixty-two million, six hundred twenty-seven thousand, two hundred thirty-two".