114512400112120 has 64 divisors (see below), whose sum is σ = 264704737320000. Its totient is φ = 44552125808640.

The previous prime is 114512400112043. The next prime is 114512400112189. The reversal of 114512400112120 is 21211004215411.

It is a super-2 number, since 2×114512400112120² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8461321 + ... + 17338360.

It is an arithmetic number, because the mean of its divisors is an integer number (4136011520625).

Almost surely, 2^{114512400112120} is an apocalyptic number.

114512400112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114512400112120 is an abundant number, since it is smaller than the sum of its proper divisors (150192337207880).

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

114512400112120 is a wasteful number, since it uses less digits than its factorization.

114512400112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25802728 (or 25802724 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 25.

Adding to 114512400112120 its reverse (21211004215411), we get a palindrome (135723404327531).

The spelling of 114512400112120 in words is "one hundred fourteen trillion, five hundred twelve billion, four hundred million, one hundred twelve thousand, one hundred twenty".