12211100192 has 48 divisors (see below), whose sum is σ = 24664826592. Its totient is φ = 5947476480.

The previous prime is 12211100191. The next prime is 12211100249. The reversal of 12211100192 is 29100111221.

12211100192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12211100192² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12211100191) 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 7 ways as a sum of consecutive naturals, for example, 889283 + ... + 902909.

It is an arithmetic number, because the mean of its divisors is an integer number (513850554).

Almost surely, 2^12211100192 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 12211100192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12332413296).

12211100192 is an abundant number, since it is smaller than the sum of its proper divisors (12453726400).

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

12211100192 is a wasteful number, since it uses less digits than its factorization.

12211100192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14361 (or 14353 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 12211100192 in words is "twelve billion, two hundred eleven million, one hundred thousand, one hundred ninety-two".