114120240 has 160 divisors (see below), whose sum is σ = 386641920. Its totient is φ = 27675648.

The previous prime is 114120199. The next prime is 114120263. The reversal of 114120240 is 42021411.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 246249 + ... + 246711.

It is an arithmetic number, because the mean of its divisors is an integer number (2416512).

Almost surely, 2^114120240 is an apocalyptic number.

114120240 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 114120240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193320960).

114120240 is an abundant number, since it is smaller than the sum of its proper divisors (272521680).

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

114120240 is a wasteful number, since it uses less digits than its factorization.

114120240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 114120240 is about 10682.7075219721. The cubic root of 114120240 is about 485.0511725508.

Adding to 114120240 its reverse (42021411), we get a palindrome (156141651).

The spelling of 114120240 in words is "one hundred fourteen million, one hundred twenty thousand, two hundred forty".