120321288 has 40 divisors (see below), whose sum is σ = 337012830. Its totient is φ = 40106880.

The previous prime is 120321287. The next prime is 120321307. The reversal of 120321288 is 882123021.

It can be written as a sum of positive squares in only one way, i.e., 91355364 + 28965924 = 9558^2 + 5382^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (120321283) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 92193 + ... + 93488.

Almost surely, 2^120321288 is an apocalyptic number.

120321288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

120321288 is an abundant number, since it is smaller than the sum of its proper divisors (216691542).

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

120321288 is a wasteful number, since it uses less digits than its factorization.

120321288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185699 (or 185686 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 120321288 is about 10969.1060711436. The cubic root of 120321288 is about 493.6822249973.

The spelling of 120321288 in words is "one hundred twenty million, three hundred twenty-one thousand, two hundred eighty-eight".