114505120 has 24 divisors (see below), whose sum is σ = 270518724. Its totient is φ = 45801984.

The previous prime is 114505117. The next prime is 114505123. The reversal of 114505120 is 21505411.

It is an interprime number because it is at equal distance from previous prime (114505117) and next prime (114505123).

It can be written as a sum of positive squares in 2 ways, for example, as 113806224 + 698896 = 10668^2 + 836^2 .

It is a super-2 number, since 2×114505120² = 26222845012428800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114505123) 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 3 ways as a sum of consecutive naturals, for example, 357669 + ... + 357988.

Almost surely, 2^114505120 is an apocalyptic number.

114505120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114505120 is an abundant number, since it is smaller than the sum of its proper divisors (156013604).

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

114505120 is an equidigital number, since it uses as much as digits as its factorization.

114505120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715672 (or 715664 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 114505120 is about 10700.7065187304. The cubic root of 114505120 is about 485.5958524887.

The spelling of 114505120 in words is "one hundred fourteen million, five hundred five thousand, one hundred twenty".