240123120 has 80 divisors (see below), whose sum is σ = 747035520. Its totient is φ = 63804672.

The previous prime is 240123089. The next prime is 240123133. The reversal of 240123120 is 21321042.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×240123120² = 115318225517068800, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 240123120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72051 + ... + 75309.

It is an arithmetic number, because the mean of its divisors is an integer number (9337944).

Almost surely, 2^240123120 is an apocalyptic number.

240123120 is a gapful number since it is divisible by the number (20) 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 240123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373517760).

240123120 is an abundant number, since it is smaller than the sum of its proper divisors (506912400).

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

240123120 is a wasteful number, since it uses less digits than its factorization.

240123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3582 (or 3576 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 240123120 is about 15495.9065562490. The cubic root of 240123120 is about 621.5527503759.

Adding to 240123120 its reverse (21321042), we get a palindrome (261444162).

The spelling of 240123120 in words is "two hundred forty million, one hundred twenty-three thousand, one hundred twenty".