12122311122 has 48 divisors (see below), whose sum is σ = 27277959072. Its totient is φ = 4034810880.

The previous prime is 12122311121. The next prime is 12122311231. The reversal of 12122311122 is 22111322121.

12122311122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12122311095 and 12122311104.

It is not an unprimeable number, because it can be changed into a prime (12122311121) 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 23 ways as a sum of consecutive naturals, for example, 317778 + ... + 353874.

It is an arithmetic number, because the mean of its divisors is an integer number (568290814).

Almost surely, 2^12122311122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122311122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13638979536).

12122311122 is an abundant number, since it is smaller than the sum of its proper divisors (15155647950).

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

12122311122 is an equidigital number, since it uses as much as digits as its factorization.

12122311122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36805 (or 36793 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

Adding to 12122311122 its reverse (22111322121), we get a palindrome (34233633243).

The spelling of 12122311122 in words is "twelve billion, one hundred twenty-two million, three hundred eleven thousand, one hundred twenty-two".