114542115314120 has 128 divisors (see below), whose sum is σ = 287208581587200. Its totient is φ = 40820781689856.

The previous prime is 114542115314119. The next prime is 114542115314191. The reversal of 114542115314120 is 21413511245411.

114542115314120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45012077 + ... + 47488643.

It is an arithmetic number, because the mean of its divisors is an integer number (2243817043650).

Almost surely, 2^{114542115314120} is an apocalyptic number.

114542115314120 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 114542115314120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143604290793600).

114542115314120 is an abundant number, since it is smaller than the sum of its proper divisors (172666466273080).

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

114542115314120 is a wasteful number, since it uses less digits than its factorization.

114542115314120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2479687 (or 2479683 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 35.

Adding to 114542115314120 its reverse (21413511245411), we get a palindrome (135955626559531).

The spelling of 114542115314120 in words is "one hundred fourteen trillion, five hundred forty-two billion, one hundred fifteen million, three hundred fourteen thousand, one hundred twenty".