12170962475280 has 720 divisors, whose sum is σ = 48482779153536. Its totient is φ = 2679865896960.

The previous prime is 12170962475267. The next prime is 12170962475299. The reversal of 12170962475280 is 8257426907121.

12170962475280 is a `hidden beast` number, since 1 + 2 + 1 + 7 + 0 + 9 + 624 + 7 + 5 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×12170962475280² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 680275135 + ... + 680293025.

Almost surely, 2^{12170962475280} is an apocalyptic number.

12170962475280 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 12170962475280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24241389576768).

12170962475280 is an abundant number, since it is smaller than the sum of its proper divisors (36311816678256).

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

12170962475280 is a wasteful number, since it uses less digits than its factorization.

12170962475280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18076 (or 18024 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 12170962475280 in words is "twelve trillion, one hundred seventy billion, nine hundred sixty-two million, four hundred seventy-five thousand, two hundred eighty".