12205734561 has 40 divisors (see below), whose sum is σ = 18427378464. Its totient is φ = 8050933440.

The previous prime is 12205734533. The next prime is 12205734617. The reversal of 12205734561 is 16543750221.

12205734561 is a `hidden beast` number, since 1 + 2 + 20 + 5 + 73 + 4 + 561 = 666.

12205734561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12205734561 - 2⁷ = 12205734433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12205734661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3671446 + ... + 3674768.

Almost surely, 2^12205734561 is an apocalyptic number.

It is an amenable number.

12205734561 is a deficient number, since it is larger than the sum of its proper divisors (6221643903).

12205734561 is a wasteful number, since it uses less digits than its factorization.

12205734561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3803 (or 3794 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 12205734561 in words is "twelve billion, two hundred five million, seven hundred thirty-four thousand, five hundred sixty-one".