120382080 has 384 divisors, whose sum is σ = 483822720. Its totient is φ = 24920064.

The previous prime is 120382079. The next prime is 120382091. The reversal of 120382080 is 80283021.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 120382080.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2271334 + ... + 2271386.

It is an arithmetic number, because the mean of its divisors is an integer number (1259955).

Almost surely, 2^120382080 is an apocalyptic number.

120382080 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 120382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241911360).

120382080 is an abundant number, since it is smaller than the sum of its proper divisors (363440640).

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

120382080 is a wasteful number, since it uses less digits than its factorization.

120382080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 120382080 is about 10971.8767765592. The cubic root of 120382080 is about 493.7653548608.

The spelling of 120382080 in words is "one hundred twenty million, three hundred eighty-two thousand, eighty".