114292120 has 16 divisors (see below), whose sum is σ = 257157360. Its totient is φ = 45716832.

The previous prime is 114292117. The next prime is 114292141. The reversal of 114292120 is 21292411.

It is a super-4 number, since 4×114292120⁴ (a number of 33 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114292091 and 114292100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1428612 + ... + 1428691.

It is an arithmetic number, because the mean of its divisors is an integer number (16072335).

Almost surely, 2^114292120 is an apocalyptic number.

114292120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114292120 is an abundant number, since it is smaller than the sum of its proper divisors (142865240).

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

114292120 is a wasteful number, since it uses less digits than its factorization.

114292120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2857314 (or 2857310 counting only the distinct ones).

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

The square root of 114292120 is about 10690.7492721511. The cubic root of 114292120 is about 485.2945672219.

The spelling of 114292120 in words is "one hundred fourteen million, two hundred ninety-two thousand, one hundred twenty".