12205085 has 16 divisors (see below), whose sum is σ = 15528240. Its totient is φ = 9192960.

The previous prime is 12205073. The next prime is 12205097. The reversal of 12205085 is 58050221.

It is an interprime number because it is at equal distance from previous prime (12205073) and next prime (12205097).

It can be written as a sum of positive squares in 8 ways, for example, as 1301881 + 10903204 = 1141^2 + 3302^2 .

It is not a de Polignac number, because 12205085 - 2⁴ = 12205069 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12205085.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4919 + ... + 6971.

It is an arithmetic number, because the mean of its divisors is an integer number (970515).

Almost surely, 2^12205085 is an apocalyptic number.

It is an amenable number.

12205085 is a deficient number, since it is larger than the sum of its proper divisors (3323155).

12205085 is a wasteful number, since it uses less digits than its factorization.

12205085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128.

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 12205085 is about 3493.5776791135. The cubic root of 12205085 is about 230.2397311356.

The spelling of 12205085 in words is "twelve million, two hundred five thousand, eighty-five".