12205165242 has 64 divisors (see below), whose sum is σ = 25944105600. Its totient is φ = 3827685888.

The previous prime is 12205165207. The next prime is 12205165333. The reversal of 12205165242 is 24256150221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6460234 + ... + 6462122.

It is an arithmetic number, because the mean of its divisors is an integer number (405376650).

Almost surely, 2^12205165242 is an apocalyptic number.

12205165242 is an abundant number, since it is smaller than the sum of its proper divisors (13738940358).

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

12205165242 is a wasteful number, since it uses less digits than its factorization.

12205165242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2108 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 12205165242 in words is "twelve billion, two hundred five million, one hundred sixty-five thousand, two hundred forty-two".