120294288 has 40 divisors (see below), whose sum is σ = 345290400. Its totient is φ = 40097952.

The previous prime is 120294217. The next prime is 120294299. The reversal of 120294288 is 882492021.

It is a super-3 number, since 3×120294288³ (a number of 25 digits) contains 333 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138798 + ... + 139661.

It is an arithmetic number, because the mean of its divisors is an integer number (8632260).

Almost surely, 2^120294288 is an apocalyptic number.

120294288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

120294288 is an abundant number, since it is smaller than the sum of its proper divisors (224996112).

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

120294288 is a wasteful number, since it uses less digits than its factorization.

120294288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278476 (or 278464 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 120294288 is about 10967.8752728138. The cubic root of 120294288 is about 493.6452949371.

The spelling of 120294288 in words is "one hundred twenty million, two hundred ninety-four thousand, two hundred eighty-eight".