12205133213121 has 24 divisors (see below), whose sum is σ = 17639804928096. Its totient is φ = 8132063803200.

The previous prime is 12205133213047. The next prime is 12205133213123. The reversal of 12205133213121 is 12131233150221.

12205133213121 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 513 + 3 + 21 + 3 + 121 = 666.

It is not a de Polignac number, because 12205133213121 - 2²⁹ = 12204596342209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12205133213123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123280786 + ... + 123379748.

It is an arithmetic number, because the mean of its divisors is an integer number (734991872004).

Almost surely, 2^{12205133213121} is an apocalyptic number.

It is an amenable number.

12205133213121 is a deficient number, since it is larger than the sum of its proper divisors (5434671714975).

12205133213121 is a wasteful number, since it uses less digits than its factorization.

12205133213121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106733 (or 106730 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 12205133213121 its reverse (12131233150221), we get a palindrome (24336366363342).

The spelling of 12205133213121 in words is "twelve trillion, two hundred five billion, one hundred thirty-three million, two hundred thirteen thousand, one hundred twenty-one".