120205 has 8 divisors (see below), whose sum is σ = 149400. Its totient is φ = 92736.

The previous prime is 120199. The next prime is 120209. The reversal of 120205 is 502021.

It can be written as a sum of positive squares in 4 ways, for example, as 15876 + 104329 = 126^2 + 323^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 120205 - 2⁷ = 120077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120191 and 120200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120209) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 270 + ... + 559.

It is an arithmetic number, because the mean of its divisors is an integer number (18675).

2¹²⁰²⁰⁵ is an apocalyptic number.

It is an amenable number.

120205 is a deficient number, since it is larger than the sum of its proper divisors (29195).

120205 is an equidigital number, since it uses as much as digits as its factorization.

120205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863.

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

The square root of 120205 is about 346.7059272640. The cubic root of 120205 is about 49.3523129228.

Adding to 120205 its reverse (502021), we get a palindrome (622226).

It can be divided in two parts, 120 and 205, that added together give a triangular number (325 = T₂₅).

The spelling of 120205 in words is "one hundred twenty thousand, two hundred five".