120839940 has 144 divisors (see below), whose sum is σ = 399108528. Its totient is φ = 29417472.

The previous prime is 120839923. The next prime is 120839959. The reversal of 120839940 is 49938021.

It can be written as a sum of positive squares in 8 ways, for example, as 17288964 + 103550976 = 4158^2 + 10176^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 120839895 and 120839904.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264192 + ... + 264648.

It is an arithmetic number, because the mean of its divisors is an integer number (2771587).

Almost surely, 2^120839940 is an apocalyptic number.

120839940 is a gapful number since it is divisible by the number (10) 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 120839940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199554264).

120839940 is an abundant number, since it is smaller than the sum of its proper divisors (278268588).

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

120839940 is a wasteful number, since it uses less digits than its factorization.

120839940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 120839940 is about 10992.7221378510. The cubic root of 120839940 is about 494.3905569724.

The spelling of 120839940 in words is "one hundred twenty million, eight hundred thirty-nine thousand, nine hundred forty".