240117120 has 96 divisors (see below), whose sum is σ = 829174320. Its totient is φ = 64029696.

The previous prime is 240117107. The next prime is 240117121. The reversal of 240117120 is 21711042.

240117120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 240117093 and 240117102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240117121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15084 + ... + 26603.

Almost surely, 2^240117120 is an apocalyptic number.

240117120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240117120 is an abundant number, since it is smaller than the sum of its proper divisors (589057200).

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

240117120 is a wasteful number, since it uses less digits than its factorization.

240117120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41712 (or 41697 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 240117120 is about 15495.7129555242. The cubic root of 240117120 is about 621.5475733823.

Adding to 240117120 its reverse (21711042), we get a palindrome (261828162).

The spelling of 240117120 in words is "two hundred forty million, one hundred seventeen thousand, one hundred twenty".