114442134120 has 128 divisors (see below), whose sum is σ = 381569760000. Its totient is φ = 30510224640.

The previous prime is 114442134109. The next prime is 114442134127. The reversal of 114442134120 is 21431244411.

114442134120 is a `hidden beast` number, since 1 + 1 + 444 + 213 + 4 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (114442134127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5238981 + ... + 5260779.

It is an arithmetic number, because the mean of its divisors is an integer number (2981013750).

Almost surely, 2^114442134120 is an apocalyptic number.

114442134120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114442134120 is an abundant number, since it is smaller than the sum of its proper divisors (267127625880).

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

114442134120 is a wasteful number, since it uses less digits than its factorization.

114442134120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26680 (or 26670 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 114442134120 its reverse (21431244411), we get a palindrome (135873378531).

The spelling of 114442134120 in words is "one hundred fourteen billion, four hundred forty-two million, one hundred thirty-four thousand, one hundred twenty".