120753288 has 64 divisors (see below), whose sum is σ = 343252800. Its totient is φ = 39312000.

The previous prime is 120753257. The next prime is 120753299. The reversal of 120753288 is 882357021.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 2788 + ... + 15788.

It is an arithmetic number, because the mean of its divisors is an integer number (5363325).

Almost surely, 2^120753288 is an apocalyptic number.

120753288 is a gapful number since it is divisible by the number (18) 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 120753288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171626400).

120753288 is an abundant number, since it is smaller than the sum of its proper divisors (222499512).

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

120753288 is a wasteful number, since it uses less digits than its factorization.

120753288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13059 (or 13049 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 120753288 is about 10988.7800960798. The cubic root of 120753288 is about 494.2723560571.

The spelling of 120753288 in words is "one hundred twenty million, seven hundred fifty-three thousand, two hundred eighty-eight".