114331120 has 40 divisors (see below), whose sum is σ = 281459664. Its totient is φ = 43041792.

The previous prime is 114331099. The next prime is 114331159. The reversal of 114331120 is 21133411.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 114331094 and 114331103.

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, 40674 + ... + 43393.

Almost surely, 2^114331120 is an apocalyptic number.

114331120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114331120 is an abundant number, since it is smaller than the sum of its proper divisors (167128544).

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

114331120 is a wasteful number, since it uses less digits than its factorization.

114331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84097 (or 84091 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 114331120 is about 10692.5731234348. The cubic root of 114331120 is about 485.3497601076.

Adding to 114331120 its reverse (21133411), we get a palindrome (135464531).

The spelling of 114331120 in words is "one hundred fourteen million, three hundred thirty-one thousand, one hundred twenty".