115123200 has 132 divisors (see below), whose sum is σ = 380742000. Its totient is φ = 30679040.

The previous prime is 115123199. The next prime is 115123207. The reversal of 115123200 is 2321511.

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 115123200.

It is not an unprimeable number, because it can be changed into a prime (115123207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76051 + ... + 77549.

Almost surely, 2^115123200 is an apocalyptic number.

115123200 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 115123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190371000).

115123200 is an abundant number, since it is smaller than the sum of its proper divisors (265618800).

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

115123200 is a wasteful number, since it uses less digits than its factorization.

115123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1509 counting only the distinct ones).

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

The square root of 115123200 is about 10729.5479867514. The cubic root of 115123200 is about 486.4680075730.

Adding to 115123200 its reverse (2321511), we get a palindrome (117444711).

The spelling of 115123200 in words is "one hundred fifteen million, one hundred twenty-three thousand, two hundred".