120082050 has 144 divisors (see below), whose sum is σ = 372913632. Its totient is φ = 27379200.

The previous prime is 120082043. The next prime is 120082063. The reversal of 120082050 is 50280021.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 71 ways as a sum of consecutive naturals, for example, 83437 + ... + 84863.

It is an arithmetic number, because the mean of its divisors is an integer number (2589678).

Almost surely, 2^120082050 is an apocalyptic number.

120082050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120082050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186456816).

120082050 is an abundant number, since it is smaller than the sum of its proper divisors (252831582).

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

120082050 is a wasteful number, since it uses less digits than its factorization.

120082050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 120082050 is about 10958.1955631390. The cubic root of 120082050 is about 493.3548074209.

The spelling of 120082050 in words is "one hundred twenty million, eighty-two thousand, fifty".