120819240 has 48 divisors (see below), whose sum is σ = 392663700. Its totient is φ = 32218368.

The previous prime is 120819229. The next prime is 120819241. The reversal of 120819240 is 42918021.

It can be written as a sum of positive squares in 2 ways, for example, as 119639844 + 1179396 = 10938^2 + 1086^2 .

It is not an unprimeable number, because it can be changed into a prime (120819241) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 167445 + ... + 168164.

Almost surely, 2^120819240 is an apocalyptic number.

120819240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120819240 is an abundant number, since it is smaller than the sum of its proper divisors (271844460).

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

120819240 is a wasteful number, since it uses less digits than its factorization.

120819240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335626 (or 335619 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 120819240 is about 10991.7805654953. The cubic root of 120819240 is about 494.3623254982.

It can be divided in two parts, 12081 and 9240, that added together give a triangular number (21321 = T₂₀₆).

The spelling of 120819240 in words is "one hundred twenty million, eight hundred nineteen thousand, two hundred forty".