120481920 has 192 divisors, whose sum is σ = 448320600. Its totient is φ = 29638656.

The previous prime is 120481919. The next prime is 120481927. The reversal of 120481920 is 29184021.

It can be written as a sum of positive squares in 4 ways, for example, as 106998336 + 13483584 = 10344^2 + 3672^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (120481927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74076 + ... + 75684.

Almost surely, 2^120481920 is an apocalyptic number.

120481920 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 120481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224160300).

120481920 is an abundant number, since it is smaller than the sum of its proper divisors (327838680).

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

120481920 is a wasteful number, since it uses less digits than its factorization.

120481920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1632 counting only the distinct ones).

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

The square root of 120481920 is about 10976.4256477234. The cubic root of 120481920 is about 493.9018201078.

The spelling of 120481920 in words is "one hundred twenty million, four hundred eighty-one thousand, nine hundred twenty".