114505212111120 has 120 divisors (see below), whose sum is σ = 384577585584192. Its totient is φ = 30532268448000.

The previous prime is 114505212111083. The next prime is 114505212111149. The reversal of 114505212111120 is 21111212505411.

114505212111120 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 0 + 521 + 2 + 1 + 11 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×114505212111120² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2578285 + ... + 15351155.

Almost surely, 2^{114505212111120} is an apocalyptic number.

114505212111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114505212111120 is an abundant number, since it is smaller than the sum of its proper divisors (270072373473072).

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

114505212111120 is a wasteful number, since it uses less digits than its factorization.

114505212111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12785341 (or 12785332 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 27.

Adding to 114505212111120 its reverse (21111212505411), we get a palindrome (135616424616531).

The spelling of 114505212111120 in words is "one hundred fourteen trillion, five hundred five billion, two hundred twelve million, one hundred eleven thousand, one hundred twenty".