115261220 has 96 divisors (see below), whose sum is σ = 266716800. Its totient is φ = 41693184.

The previous prime is 115261217. The next prime is 115261231. The reversal of 115261220 is 22162511.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 115261192 and 115261201.

It is an unprimeable number.

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, 1188212 + ... + 1188308.

It is an arithmetic number, because the mean of its divisors is an integer number (2778300).

Almost surely, 2^115261220 is an apocalyptic number.

115261220 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 115261220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133358400).

115261220 is an abundant number, since it is smaller than the sum of its proper divisors (151455580).

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

115261220 is a wasteful number, since it uses less digits than its factorization.

115261220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 115261220 is about 10735.9778315717. The cubic root of 115261220 is about 486.6623370687.

The spelling of 115261220 in words is "one hundred fifteen million, two hundred sixty-one thousand, two hundred twenty".