12170609590272 has 512 divisors, whose sum is σ = 40390531200000. Its totient is φ = 3180604686336.

The previous prime is 12170609590267. The next prime is 12170609590273. The reversal of 12170609590272 is 27209590607121.

It is a tau number, because it is divible by the number of its divisors (512).

It is not an unprimeable number, because it can be changed into a prime (12170609590273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 379142479 + ... + 379174577.

It is an arithmetic number, because the mean of its divisors is an integer number (78887756250).

Almost surely, 2^{12170609590272} is an apocalyptic number.

12170609590272 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 12170609590272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20195265600000).

12170609590272 is an abundant number, since it is smaller than the sum of its proper divisors (28219921609728).

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

12170609590272 is an equidigital number, since it uses as much as digits as its factorization.

12170609590272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32187 (or 32159 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 51.

The spelling of 12170609590272 in words is "twelve trillion, one hundred seventy billion, six hundred nine million, five hundred ninety thousand, two hundred seventy-two".