12205765516 has 48 divisors (see below), whose sum is σ = 25007076864. Its totient is φ = 5103697536.

The previous prime is 12205765489. The next prime is 12205765531. The reversal of 12205765516 is 61556750221.

12205765516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 1178376 + ... + 1188688.

It is an arithmetic number, because the mean of its divisors is an integer number (520980768).

Almost surely, 2^12205765516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12205765516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12503538432).

12205765516 is an abundant number, since it is smaller than the sum of its proper divisors (12801311348).

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

12205765516 is a wasteful number, since it uses less digits than its factorization.

12205765516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11350 (or 11348 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 40.

The spelling of 12205765516 in words is "twelve billion, two hundred five million, seven hundred sixty-five thousand, five hundred sixteen".