114114120 has 64 divisors (see below), whose sum is σ = 349643520. Its totient is φ = 29781504.

The previous prime is 114114097. The next prime is 114114151. The reversal of 114114120 is 21411411.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 114114120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4477 + ... + 15756.

It is an arithmetic number, because the mean of its divisors is an integer number (5463180).

Almost surely, 2^114114120 is an apocalyptic number.

114114120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114114120 is an abundant number, since it is smaller than the sum of its proper divisors (235529400).

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

114114120 is a wasteful number, since it uses less digits than its factorization.

114114120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20294 (or 20290 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 114114120 is about 10682.4210738952. The cubic root of 114114120 is about 485.0425016780.

Adding to 114114120 its reverse (21411411), we get a palindrome (135525531).

The spelling of 114114120 in words is "one hundred fourteen million, one hundred fourteen thousand, one hundred twenty".