115312120 has 128 divisors (see below), whose sum is σ = 334886400. Its totient is φ = 34675200.

The previous prime is 115312117. The next prime is 115312129. The reversal of 115312120 is 21213511.

It is a junction number, because it is equal to n+sod(n) for n = 115312094 and 115312103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115312129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88675 + ... + 89965.

It is an arithmetic number, because the mean of its divisors is an integer number (2616300).

Almost surely, 2^115312120 is an apocalyptic number.

115312120 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 115312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167443200).

115312120 is an abundant number, since it is smaller than the sum of its proper divisors (219574280).

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

115312120 is a wasteful number, since it uses less digits than its factorization.

115312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 115312120 is about 10738.3481038752. The cubic root of 115312120 is about 486.7339641303.

Adding to 115312120 its reverse (21213511), we get a palindrome (136525631).

The spelling of 115312120 in words is "one hundred fifteen million, three hundred twelve thousand, one hundred twenty".