120205000 has 80 divisors (see below), whose sum is σ = 291703500. Its totient is φ = 46368000.

The previous prime is 120204983. The next prime is 120205021. The reversal of 120205000 is 502021.

It can be written as a sum of positive squares in 10 ways, for example, as 6441444 + 113763556 = 2538^2 + 10666^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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 19 ways as a sum of consecutive naturals, for example, 144586 + ... + 145414.

Almost surely, 2^120205000 is an apocalyptic number.

120205000 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 120205000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145851750).

120205000 is an abundant number, since it is smaller than the sum of its proper divisors (171498500).

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

120205000 is an equidigital number, since it uses as much as digits as its factorization.

120205000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 120205000 is about 10963.8040843496. The cubic root of 120205000 is about 493.5231292284.

Adding to 120205000 its reverse (502021), we get a palindrome (120707021).

It can be divided in two parts, 12020 and 5000, that added together give a triangular number (17020 = T₁₈₄).

The spelling of 120205000 in words is "one hundred twenty million, two hundred five thousand".