120939840 has 252 divisors, whose sum is σ = 484462836. Its totient is φ = 27611136.

The previous prime is 120939839. The next prime is 120939851. The reversal of 120939840 is 48939021.

It can be written as a sum of positive squares in 2 ways, for example, as 82301184 + 38638656 = 9072^2 + 6216^2 .

It is a tau number, because it is divible by the number of its divisors (252).

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 = 120939795 and 120939804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 140692 + ... + 141548.

Almost surely, 2^120939840 is an apocalyptic number.

120939840 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 120939840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242231418).

120939840 is an abundant number, since it is smaller than the sum of its proper divisors (363522996).

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

120939840 is a wasteful number, since it uses less digits than its factorization.

120939840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 874 counting only the distinct ones).

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

The square root of 120939840 is about 10997.2651145637. The cubic root of 120939840 is about 494.5267592152.

The spelling of 120939840 in words is "one hundred twenty million, nine hundred thirty-nine thousand, eight hundred forty".