12205272 has 32 divisors (see below), whose sum is σ = 31841280. Its totient is φ = 3891360.

The previous prime is 12205253. The next prime is 12205273. The reversal of 12205272 is 27250221.

It is a happy number.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12205273) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10504 + ... + 11607.

It is an arithmetic number, because the mean of its divisors is an integer number (995040).

Almost surely, 2^12205272 is an apocalyptic number.

12205272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12205272 is an abundant number, since it is smaller than the sum of its proper divisors (19636008).

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

12205272 is a wasteful number, since it uses less digits than its factorization.

12205272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22143 (or 22139 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 12205272 is about 3493.6044424062. The cubic root of 12205272 is about 230.2409070010.

Adding to 12205272 its reverse (27250221), we get a palindrome (39455493).

The spelling of 12205272 in words is "twelve million, two hundred five thousand, two hundred seventy-two".