115120320 has 224 divisors, whose sum is σ = 429938688. Its totient is φ = 25546752.

The previous prime is 115120309. The next prime is 115120321. The reversal of 115120320 is 23021511.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 115120320.

It is not an unprimeable number, because it can be changed into a prime (115120321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248409 + ... + 248871.

Almost surely, 2^115120320 is an apocalyptic number.

115120320 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 115120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214969344).

115120320 is an abundant number, since it is smaller than the sum of its proper divisors (314818368).

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

115120320 is a wasteful number, since it uses less digits than its factorization.

115120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 115120320 is about 10729.4137770896. The cubic root of 115120320 is about 486.4639509347.

Adding to 115120320 its reverse (23021511), we get a palindrome (138141831).

It can be divided in two parts, 115120 and 320, that added together give a triangular number (115440 = T₄₈₀).

The spelling of 115120320 in words is "one hundred fifteen million, one hundred twenty thousand, three hundred twenty".