115310405120 has 80 divisors (see below), whose sum is σ = 277166644128. Its totient is φ = 46008729600.

The previous prime is 115310405071. The next prime is 115310405149. The reversal of 115310405120 is 21504013511.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 970397 + ... + 1082723.

Almost surely, 2^115310405120 is an apocalyptic number.

115310405120 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 115310405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138583322064).

115310405120 is an abundant number, since it is smaller than the sum of its proper divisors (161856239008).

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

115310405120 is an equidigital number, since it uses as much as digits as its factorization.

115310405120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112751 (or 112735 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 23.

Adding to 115310405120 its reverse (21504013511), we get a palindrome (136814418631).

The spelling of 115310405120 in words is "one hundred fifteen billion, three hundred ten million, four hundred five thousand, one hundred twenty".