12107006444160 has 640 divisors, whose sum is σ = 43834933296000. Its totient is φ = 3183974866944.

The previous prime is 12107006444153. The next prime is 12107006444179. The reversal of 12107006444160 is 6144460070121.

It is a happy number.

12107006444160 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 7 + 0 + 0 + 644 + 4 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 79 ways as a sum of consecutive naturals, for example, 2783857666 + ... + 2783862014.

It is an arithmetic number, because the mean of its divisors is an integer number (68492083275).

Almost surely, 2^{12107006444160} is an apocalyptic number.

12107006444160 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 12107006444160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21917466648000).

12107006444160 is an abundant number, since it is smaller than the sum of its proper divisors (31727926851840).

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

12107006444160 is an equidigital number, since it uses as much as digits as its factorization.

12107006444160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5110 (or 5089 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 12107006444160 in words is "twelve trillion, one hundred seven billion, six million, four hundred forty-four thousand, one hundred sixty".