12205264 has 40 divisors (see below), whose sum is σ = 24808680. Its totient is φ = 5810688.

The previous prime is 12205253. The next prime is 12205273. The reversal of 12205264 is 46250221.

12205264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3841600 + 8363664 = 1960^2 + 2892^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31182 + ... + 31570.

It is an arithmetic number, because the mean of its divisors is an integer number (620217).

Almost surely, 2^12205264 is an apocalyptic number.

It is an amenable number.

12205264 is an abundant number, since it is smaller than the sum of its proper divisors (12603416).

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

12205264 is a wasteful number, since it uses less digits than its factorization.

12205264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 12205264 is about 3493.6032974567. The cubic root of 12205264 is about 230.2408566968.

Adding to 12205264 its reverse (46250221), we get a palindrome (58455485).

The spelling of 12205264 in words is "twelve million, two hundred five thousand, two hundred sixty-four".