120813440 has 96 divisors (see below), whose sum is σ = 317499480. Its totient is φ = 43596800.

The previous prime is 120813431. The next prime is 120813461. The reversal of 120813440 is 44318021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 922175 + ... + 922305.

Almost surely, 2^120813440 is an apocalyptic number.

120813440 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 120813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158749740).

120813440 is an abundant number, since it is smaller than the sum of its proper divisors (196686040).

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

120813440 is an equidigital number, since it uses as much as digits as its factorization.

120813440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 120813440 is about 10991.5167288232. The cubic root of 120813440 is about 494.3544146517.

The spelling of 120813440 in words is "one hundred twenty million, eight hundred thirteen thousand, four hundred forty".