115242120 has 288 divisors, whose sum is σ = 448156800. Its totient is φ = 25595136.

The previous prime is 115242109. The next prime is 115242137. The reversal of 115242120 is 21242511.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 115242093 and 115242102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 829011 + ... + 829149.

It is an arithmetic number, because the mean of its divisors is an integer number (1556100).

Almost surely, 2^115242120 is an apocalyptic number.

115242120 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 115242120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224078400).

115242120 is an abundant number, since it is smaller than the sum of its proper divisors (332914680).

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

115242120 is a wasteful number, since it uses less digits than its factorization.

115242120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 115242120 is about 10735.0882623293. The cubic root of 115242120 is about 486.6354538894.

Adding to 115242120 its reverse (21242511), we get a palindrome (136484631).

The spelling of 115242120 in words is "one hundred fifteen million, two hundred forty-two thousand, one hundred twenty".