12628205 has 16 divisors (see below), whose sum is σ = 15649200. Its totient is φ = 9776640.

The previous prime is 12628199. The next prime is 12628207. The reversal of 12628205 is 50282621.

It can be written as a sum of positive squares in 8 ways, for example, as 1532644 + 11095561 = 1238^2 + 3331^2 .

It is not a de Polignac number, because 12628205 - 2¹⁴ = 12611821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12628207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46811 + ... + 47079.

It is an arithmetic number, because the mean of its divisors is an integer number (978075).

Almost surely, 2^12628205 is an apocalyptic number.

It is an amenable number.

12628205 is a deficient number, since it is larger than the sum of its proper divisors (3020995).

12628205 is a wasteful number, since it uses less digits than its factorization.

12628205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544.

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 12628205 is about 3553.6185782945. The cubic root of 12628205 is about 232.8701776379.

The spelling of 12628205 in words is "twelve million, six hundred twenty-eight thousand, two hundred five".