12205641 has 16 divisors (see below), whose sum is σ = 18662400. Its totient is φ = 6950928.

The previous prime is 12205621. The next prime is 12205649. The reversal of 12205641 is 14650221.

It is not a de Polignac number, because 12205641 - 2¹⁴ = 12189257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (12205649) 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 15 ways as a sum of consecutive naturals, for example, 6730 + ... + 8348.

It is an arithmetic number, because the mean of its divisors is an integer number (1166400).

Almost surely, 2^12205641 is an apocalyptic number.

It is an amenable number.

12205641 is a deficient number, since it is larger than the sum of its proper divisors (6456759).

12205641 is a wasteful number, since it uses less digits than its factorization.

12205641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 12205641 is about 3493.6572527940. The cubic root of 12205641 is about 230.2432272562.

Adding to 12205641 its reverse (14650221), we get a palindrome (26855862).

The spelling of 12205641 in words is "twelve million, two hundred five thousand, six hundred forty-one".