115005010120 has 256 divisors, whose sum is σ = 348255936000. Its totient is φ = 33009500160.

The previous prime is 115005010093. The next prime is 115005010139. The reversal of 115005010120 is 21010500511.

It is a junction number, because it is equal to n+sod(n) for n = 115005010094 and 115005010103.

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 63 ways as a sum of consecutive naturals, for example, 17974762 + ... + 17981158.

It is an arithmetic number, because the mean of its divisors is an integer number (1360374750).

Almost surely, 2^115005010120 is an apocalyptic number.

115005010120 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 115005010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174127968000).

115005010120 is an abundant number, since it is smaller than the sum of its proper divisors (233250925880).

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

115005010120 is a wasteful number, since it uses less digits than its factorization.

115005010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6888 (or 6884 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 16.

Adding to 115005010120 its reverse (21010500511), we get a palindrome (136015510631).

The spelling of 115005010120 in words is "one hundred fifteen billion, five million, ten thousand, one hundred twenty".