120117840 has 80 divisors (see below), whose sum is σ = 374976000. Its totient is φ = 31806976.

The previous prime is 120117821. The next prime is 120117847. The reversal of 120117840 is 48711021.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 120117840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120117847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34081 + ... + 37439.

It is an arithmetic number, because the mean of its divisors is an integer number (4687200).

Almost surely, 2^120117840 is an apocalyptic number.

120117840 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 120117840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187488000).

120117840 is an abundant number, since it is smaller than the sum of its proper divisors (254858160).

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

120117840 is a wasteful number, since it uses less digits than its factorization.

120117840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3524 (or 3518 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 120117840 is about 10959.8284658109. The cubic root of 120117840 is about 493.4038167292.

Adding to 120117840 its reverse (48711021), we get a palindrome (168828861).

The spelling of 120117840 in words is "one hundred twenty million, one hundred seventeen thousand, eight hundred forty".