120873288 has 64 divisors (see below), whose sum is σ = 320544000. Its totient is φ = 37876032.

The previous prime is 120873287. The next prime is 120873323. The reversal of 120873288 is 882378021.

It is a super-2 number, since 2×120873288² = 29220703503861888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120873283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62431 + ... + 64337.

It is an arithmetic number, because the mean of its divisors is an integer number (5008500).

Almost surely, 2^120873288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120873288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160272000).

120873288 is an abundant number, since it is smaller than the sum of its proper divisors (199670712).

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

120873288 is a wasteful number, since it uses less digits than its factorization.

120873288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2074 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 120873288 is about 10994.2388549640. The cubic root of 120873288 is about 494.4360315064.

The spelling of 120873288 in words is "one hundred twenty million, eight hundred seventy-three thousand, two hundred eighty-eight".