117312883272 has 96 divisors (see below), whose sum is σ = 343256604600. Its totient is φ = 35980858368.

The previous prime is 117312883213. The next prime is 117312883313. The reversal of 117312883272 is 272388213711.

117312883272 is a `hidden beast` number, since 1 + 1 + 7 + 312 + 8 + 8 + 327 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 49788781956 + 67524101316 = 223134^2 + 259854^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92754 + ... + 493182.

Almost surely, 2^117312883272 is an apocalyptic number.

117312883272 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 117312883272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171628302300).

117312883272 is an abundant number, since it is smaller than the sum of its proper divisors (225943721328).

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

117312883272 is a wasteful number, since it uses less digits than its factorization.

117312883272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400767 (or 400760 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The spelling of 117312883272 in words is "one hundred seventeen billion, three hundred twelve million, eight hundred eighty-three thousand, two hundred seventy-two".