120882320 has 60 divisors (see below), whose sum is σ = 304367796. Its totient is φ = 44628480.

The previous prime is 120882317. The next prime is 120882329. The reversal of 120882320 is 23288021.

It can be written as a sum of positive squares in 6 ways, for example, as 16679056 + 104203264 = 4084^2 + 10208^2 .

It is a super-2 number, since 2×120882320² = 29225070577164800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 120882320.

It is not an unprimeable number, because it can be changed into a prime (120882329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9050 + ... + 17990.

Almost surely, 2^120882320 is an apocalyptic number.

120882320 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 120882320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152183898).

120882320 is an abundant number, since it is smaller than the sum of its proper divisors (183485476).

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

120882320 is a wasteful number, since it uses less digits than its factorization.

120882320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8980 (or 8961 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 120882320 is about 10994.6496078775. The cubic root of 120882320 is about 494.4483464275.

The spelling of 120882320 in words is "one hundred twenty million, eight hundred eighty-two thousand, three hundred twenty".