122205 has 8 divisors (see below), whose sum is σ = 195552. Its totient is φ = 65168.

The previous prime is 122203. The next prime is 122207. The reversal of 122205 is 502221.

It is an interprime number because it is at equal distance from previous prime (122203) and next prime (122207).

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 122205 - 2¹ = 122203 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122201) 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, 4059 + ... + 4088.

It is an arithmetic number, because the mean of its divisors is an integer number (24444).

2¹²²²⁰⁵ is an apocalyptic number.

122205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122205 is a deficient number, since it is larger than the sum of its proper divisors (73347).

122205 is an equidigital number, since it uses as much as digits as its factorization.

122205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8155.

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 122205 is about 349.5783174054. The cubic root of 122205 is about 49.6245206974.

Adding to 122205 its reverse (502221), we get a palindrome (624426).

The spelling of 122205 in words is "one hundred twenty-two thousand, two hundred five".