120825220 has 24 divisors (see below), whose sum is σ = 257211864. Its totient is φ = 47667456.

The previous prime is 120825169. The next prime is 120825241. The reversal of 120825220 is 22528021.

It can be written as a sum of positive squares in 4 ways, for example, as 43138624 + 77686596 = 6568^2 + 8814^2 .

It is a junction number, because it is equal to n+sod(n) for n = 120825191 and 120825200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39919 + ... + 42838.

It is an arithmetic number, because the mean of its divisors is an integer number (10717161).

Almost surely, 2^120825220 is an apocalyptic number.

120825220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120825220 is an abundant number, since it is smaller than the sum of its proper divisors (136386644).

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

120825220 is a wasteful number, since it uses less digits than its factorization.

120825220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82839 (or 82837 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 120825220 is about 10992.0525835715. The cubic root of 120825220 is about 494.3704815886.

The spelling of 120825220 in words is "one hundred twenty million, eight hundred twenty-five thousand, two hundred twenty".