114032120 has 32 divisors (see below), whose sum is σ = 257919120. Its totient is φ = 45373440.

The previous prime is 114032117. The next prime is 114032143. The reversal of 114032120 is 21230411.

It is a junction number, because it is equal to n+sod(n) for n = 114032095 and 114032104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 335 + ... + 15105.

Almost surely, 2^114032120 is an apocalyptic number.

114032120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114032120 is an abundant number, since it is smaller than the sum of its proper divisors (143887000).

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

114032120 is a wasteful number, since it uses less digits than its factorization.

114032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14975 (or 14971 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 114032120 is about 10678.5823029089. The cubic root of 114032120 is about 484.9262934012.

Adding to 114032120 its reverse (21230411), we get a palindrome (135262531).

The spelling of 114032120 in words is "one hundred fourteen million, thirty-two thousand, one hundred twenty".