12107027036160 has 576 divisors, whose sum is σ = 48196669248000. Its totient is φ = 2753385136128.

The previous prime is 12107027036119. The next prime is 12107027036177. The reversal of 12107027036160 is 6163072070121.

It is a happy number.

12107027036160 is a `hidden beast` number, since 1 + 2 + 10 + 7 + 0 + 27 + 0 + 3 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 128331727 + ... + 128426033.

It is an arithmetic number, because the mean of its divisors is an integer number (83674773000).

Almost surely, 2^{12107027036160} is an apocalyptic number.

12107027036160 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 12107027036160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24098334624000).

12107027036160 is an abundant number, since it is smaller than the sum of its proper divisors (36089642211840).

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

12107027036160 is a wasteful number, since it uses less digits than its factorization.

12107027036160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94546 (or 94523 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 12107027036160 in words is "twelve trillion, one hundred seven billion, twenty-seven million, thirty-six thousand, one hundred sixty".