317112122880 has 480 divisors, whose sum is σ = 1301645689344. Its totient is φ = 72481775616.

The previous prime is 317112122867. The next prime is 317112122893. The reversal of 317112122880 is 88221211713.

317112122880 is a `hidden beast` number, since 317 + 112 + 1 + 228 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (317112122867) and next prime (317112122893).

It is a tau number, because it is divible by the number of its divisors (480).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4318149 + ... + 4390971.

Almost surely, 2^317112122880 is an apocalyptic number.

317112122880 is a gapful number since it is divisible by the number (30) 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 317112122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650822844672).

317112122880 is an abundant number, since it is smaller than the sum of its proper divisors (984533566464).

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

317112122880 is an frugal number, since it uses more digits than its factorization.

317112122880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72868 (or 72840 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 317112122880 in words is "three hundred seventeen billion, one hundred twelve million, one hundred twenty-two thousand, eight hundred eighty".