114920002120 has 64 divisors (see below), whose sum is σ = 322373001600. Its totient is φ = 35819220480.

The previous prime is 114920002081. The next prime is 114920002123. The reversal of 114920002120 is 21200029411.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 114920002091 and 114920002100.

It is not an unprimeable number, because it can be changed into a prime (114920002123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 18652765 + ... + 18658924.

It is an arithmetic number, because the mean of its divisors is an integer number (5037078150).

Almost surely, 2^114920002120 is an apocalyptic number.

114920002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114920002120 is an abundant number, since it is smaller than the sum of its proper divisors (207452999480).

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

114920002120 is a wasteful number, since it uses less digits than its factorization.

114920002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37311718 (or 37311714 counting only the distinct ones).

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

The spelling of 114920002120 in words is "one hundred fourteen billion, nine hundred twenty million, two thousand, one hundred twenty".