114616120 has 32 divisors (see below), whose sum is σ = 266781600. Its totient is φ = 44265088.

The previous prime is 114616093. The next prime is 114616129. The reversal of 114616120 is 21616411.

It is a junction number, because it is equal to n+sod(n) for n = 114616091 and 114616100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114616129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48244 + ... + 50563.

It is an arithmetic number, because the mean of its divisors is an integer number (8336925).

Almost surely, 2^114616120 is an apocalyptic number.

114616120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114616120 is an abundant number, since it is smaller than the sum of its proper divisors (152165480).

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

114616120 is a wasteful number, since it uses less digits than its factorization.

114616120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98847 (or 98843 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 114616120 is about 10705.8918358070. The cubic root of 114616120 is about 485.7527122342.

The spelling of 114616120 in words is "one hundred fourteen million, six hundred sixteen thousand, one hundred twenty".