120590500 has 48 divisors (see below), whose sum is σ = 264451824. Its totient is φ = 48038400.

The previous prime is 120590489. The next prime is 120590501. The reversal of 120590500 is 5095021.

It can be written as a sum of positive squares in 8 ways, for example, as 92775424 + 27815076 = 9632^2 + 5274^2 .

It is not an unprimeable number, because it can be changed into a prime (120590501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216222 + ... + 216778.

It is an arithmetic number, because the mean of its divisors is an integer number (5509413).

Almost surely, 2^120590500 is an apocalyptic number.

120590500 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 120590500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132225912).

120590500 is an abundant number, since it is smaller than the sum of its proper divisors (143861324).

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

120590500 is a wasteful number, since it uses less digits than its factorization.

120590500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 22.

The square root of 120590500 is about 10981.3705884102. The cubic root of 120590500 is about 494.0501459801.

The spelling of 120590500 in words is "one hundred twenty million, five hundred ninety thousand, five hundred".