120409920 has 84 divisors (see below), whose sum is σ = 414169860. Its totient is φ = 32108544.

The previous prime is 120409901. The next prime is 120409931. The reversal of 120409920 is 29904021.

It can be written as a sum of positive squares in 2 ways, for example, as 39841344 + 80568576 = 6312^2 + 8976^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 18025 + ... + 23784.

Almost surely, 2^120409920 is an apocalyptic number.

120409920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120409920 is an abundant number, since it is smaller than the sum of its proper divisors (293759940).

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

120409920 is a wasteful number, since it uses less digits than its factorization.

120409920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41832 (or 41819 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 120409920 is about 10973.1454013879. The cubic root of 120409920 is about 493.8034152541.

The spelling of 120409920 in words is "one hundred twenty million, four hundred nine thousand, nine hundred twenty".