116313120 has 288 divisors, whose sum is σ = 495331200. Its totient is φ = 24145920.

The previous prime is 116313097. The next prime is 116313157. The reversal of 116313120 is 21313611.

116313120 is a `hidden beast` number, since 1 + 1 + 631 + 31 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 116313093 and 116313102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110356 + ... + 111404.

It is an arithmetic number, because the mean of its divisors is an integer number (1719900).

Almost surely, 2^116313120 is an apocalyptic number.

116313120 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 116313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247665600).

116313120 is an abundant number, since it is smaller than the sum of its proper divisors (379018080).

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

116313120 is a wasteful number, since it uses less digits than its factorization.

116313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 116313120 is about 10784.8560491089. The cubic root of 116313120 is about 488.1383196548.

Adding to 116313120 its reverse (21313611), we get a palindrome (137626731).

It can be divided in two parts, 116 and 313120, that added together give a triangular number (313236 = T₇₉₁).

The spelling of 116313120 in words is "one hundred sixteen million, three hundred thirteen thousand, one hundred twenty".