117113120 has 24 divisors (see below), whose sum is σ = 276680124. Its totient is φ = 46845184.

The previous prime is 117113089. The next prime is 117113137. The reversal of 117113120 is 21311711.

It can be written as a sum of positive squares in 2 ways, for example, as 116553616 + 559504 = 10796^2 + 748^2 .

It is a super-2 number, since 2×117113120² = 27430965752268800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 365819 + ... + 366138.

Almost surely, 2^117113120 is an apocalyptic number.

117113120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117113120 is an abundant number, since it is smaller than the sum of its proper divisors (159567004).

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

117113120 is an equidigital number, since it uses as much as digits as its factorization.

117113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731972 (or 731964 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 17.

The square root of 117113120 is about 10821.8815369602. The cubic root of 117113120 is about 489.2548997742.

Adding to 117113120 its reverse (21311711), we get a palindrome (138424831).

The spelling of 117113120 in words is "one hundred seventeen million, one hundred thirteen thousand, one hundred twenty".