114703120 has 120 divisors (see below), whose sum is σ = 321240600. Its totient is φ = 37933056.

The previous prime is 114703103. The next prime is 114703153. The reversal of 114703120 is 21307411.

It can be written as a sum of positive squares in 4 ways, for example, as 6210064 + 108493056 = 2492^2 + 10416^2 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 113176 + ... + 114184.

It is an arithmetic number, because the mean of its divisors is an integer number (2677005).

Almost surely, 2^114703120 is an apocalyptic number.

114703120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114703120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160620300).

114703120 is an abundant number, since it is smaller than the sum of its proper divisors (206537480).

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

114703120 is a wasteful number, since it uses less digits than its factorization.

114703120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 114703120 is about 10709.9542482683. The cubic root of 114703120 is about 485.8755855781.

The spelling of 114703120 in words is "one hundred fourteen million, seven hundred three thousand, one hundred twenty".