12122111322 has 64 divisors (see below), whose sum is σ = 27569808000. Its totient is φ = 3947036544.

The previous prime is 12122111317. The next prime is 12122111327. The reversal of 12122111322 is 22311122121.

12122111322 is a `hidden beast` number, since 121 + 221 + 1 + 1 + 322 = 666.

12122111322 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12122111317) and next prime (12122111327).

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 = 12122111295 and 12122111304.

It is not an unprimeable number, because it can be changed into a prime (12122111327) 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 31 ways as a sum of consecutive naturals, for example, 383704 + ... + 414092.

It is an arithmetic number, because the mean of its divisors is an integer number (430778250).

Almost surely, 2^12122111322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122111322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13784904000).

12122111322 is an abundant number, since it is smaller than the sum of its proper divisors (15447696678).

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

12122111322 is a wasteful number, since it uses less digits than its factorization.

12122111322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30572 (or 30566 counting only the distinct ones).

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

Adding to 12122111322 its reverse (22311122121), we get a palindrome (34433233443).

The spelling of 12122111322 in words is "twelve billion, one hundred twenty-two million, one hundred eleven thousand, three hundred twenty-two".