120813280 has 96 divisors (see below), whose sum is σ = 328224960. Its totient is φ = 41164800.

The previous prime is 120813263. The next prime is 120813281. The reversal of 120813280 is 82318021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120813281) 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, 301080 + ... + 301480.

It is an arithmetic number, because the mean of its divisors is an integer number (3419010).

Almost surely, 2^120813280 is an apocalyptic number.

120813280 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 120813280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164112480).

120813280 is an abundant number, since it is smaller than the sum of its proper divisors (207411680).

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

120813280 is a wasteful number, since it uses less digits than its factorization.

120813280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 120813280 is about 10991.5094504804. The cubic root of 120813280 is about 494.3541964179.

The spelling of 120813280 in words is "one hundred twenty million, eight hundred thirteen thousand, two hundred eighty".