120116640 has 144 divisors (see below), whose sum is σ = 440227872. Its totient is φ = 27449856.

The previous prime is 120116639. The next prime is 120116641. The reversal of 120116640 is 46611021.

It is an interprime number because it is at equal distance from previous prime (120116639) and next prime (120116641).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (120116641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20967 + ... + 26073.

It is an arithmetic number, because the mean of its divisors is an integer number (3057138).

Almost surely, 2^120116640 is an apocalyptic number.

120116640 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 120116640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220113936).

120116640 is an abundant number, since it is smaller than the sum of its proper divisors (320111232).

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

120116640 is a wasteful number, since it uses less digits than its factorization.

120116640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5139 (or 5124 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 120116640 is about 10959.7737202919. The cubic root of 120116640 is about 493.4021736578.

Adding to 120116640 its reverse (46611021), we get a palindrome (166727661).

The spelling of 120116640 in words is "one hundred twenty million, one hundred sixteen thousand, six hundred forty".