12205792192 has 224 divisors, whose sum is σ = 29199937536. Its totient is φ = 4997529600.

The previous prime is 12205792189. The next prime is 12205792213. The reversal of 12205792192 is 29129750221.

12205792192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 61958238 + ... + 61958434.

It is an arithmetic number, because the mean of its divisors is an integer number (130356864).

Almost surely, 2^12205792192 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 12205792192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14599968768).

12205792192 is an abundant number, since it is smaller than the sum of its proper divisors (16994145344).

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

12205792192 is a wasteful number, since it uses less digits than its factorization.

12205792192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 40.

The spelling of 12205792192 in words is "twelve billion, two hundred five million, seven hundred ninety-two thousand, one hundred ninety-two".