12205163361 has 16 divisors (see below), whose sum is σ = 17135677440. Its totient is φ = 7705993680.

The previous prime is 12205163317. The next prime is 12205163401. The reversal of 12205163361 is 16336150221.

12205163361 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 12205163361 - 2¹⁰ = 12205162337 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12205168361) 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 15 ways as a sum of consecutive naturals, for example, 148336 + ... + 215438.

It is an arithmetic number, because the mean of its divisors is an integer number (1070979840).

Almost surely, 2^12205163361 is an apocalyptic number.

It is an amenable number.

12205163361 is a deficient number, since it is larger than the sum of its proper divisors (4930514079).

12205163361 is a wasteful number, since it uses less digits than its factorization.

12205163361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70316.

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 12205163361 in words is "twelve billion, two hundred five million, one hundred sixty-three thousand, three hundred sixty-one".