114120951 has 48 divisors (see below), whose sum is σ = 185610240. Its totient is φ = 62112960.

The previous prime is 114120943. The next prime is 114120959. The reversal of 114120951 is 159021411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (114120943) and next prime (114120959).

It is not a de Polignac number, because 114120951 - 2³ = 114120943 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114120959) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 359845 + ... + 360161.

It is an arithmetic number, because the mean of its divisors is an integer number (3866880).

Almost surely, 2^114120951 is an apocalyptic number.

114120951 is a deficient number, since it is larger than the sum of its proper divisors (71489289).

114120951 is a wasteful number, since it uses less digits than its factorization.

114120951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 24.

The square root of 114120951 is about 10682.7408000007. The cubic root of 114120951 is about 485.0521798821.

The spelling of 114120951 in words is "one hundred fourteen million, one hundred twenty thousand, nine hundred fifty-one".