116337120 has 192 divisors, whose sum is σ = 396809280. Its totient is φ = 28540928.

The previous prime is 116337113. The next prime is 116337149. The reversal of 116337120 is 21733611.

It is a super-3 number, since 3×116337120³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 432346 + ... + 432614.

It is an arithmetic number, because the mean of its divisors is an integer number (2066715).

Almost surely, 2^116337120 is an apocalyptic number.

116337120 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 116337120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198404640).

116337120 is an abundant number, since it is smaller than the sum of its proper divisors (280472160).

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

116337120 is a wasteful number, since it uses less digits than its factorization.

116337120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 116337120 is about 10785.9686630363. The cubic root of 116337120 is about 488.1718914307.

It can be divided in two parts, 1163 and 37120, that added together give a palindrome (38283).

The spelling of 116337120 in words is "one hundred sixteen million, three hundred thirty-seven thousand, one hundred twenty".