12170574572712 has 256 divisors, whose sum is σ = 33040808755200. Its totient is φ = 3721526415360.

The previous prime is 12170574572641. The next prime is 12170574572749. The reversal of 12170574572712 is 21727547507121.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2150655339 + ... + 2150660997.

It is an arithmetic number, because the mean of its divisors is an integer number (129065659200).

Almost surely, 2^{12170574572712} is an apocalyptic number.

12170574572712 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 12170574572712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16520404377600).

12170574572712 is an abundant number, since it is smaller than the sum of its proper divisors (20870234182488).

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

12170574572712 is a wasteful number, since it uses less digits than its factorization.

12170574572712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6376 (or 6372 counting only the distinct ones).

The product of its (nonzero) digits is 1920800, while the sum is 51.

The spelling of 12170574572712 in words is "twelve trillion, one hundred seventy billion, five hundred seventy-four million, five hundred seventy-two thousand, seven hundred twelve".