12221321112 has 384 divisors, whose sum is σ = 45652239360. Its totient is φ = 2850370560.

The previous prime is 12221321107. The next prime is 12221321117. The reversal of 12221321112 is 21112312221.

12221321112 is a `hidden beast` number, since 12 + 221 + 321 + 112 = 666.

12221321112 is digitally balanced in base 2, because in such base 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 (12221321107) and next prime (12221321117).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221321117) 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 95 ways as a sum of consecutive naturals, for example, 2664373 + ... + 2668955.

It is an arithmetic number, because the mean of its divisors is an integer number (118886040).

Almost surely, 2^12221321112 is an apocalyptic number.

12221321112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12221321112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22826119680).

12221321112 is an abundant number, since it is smaller than the sum of its proper divisors (33430918248).

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

12221321112 is a wasteful number, since it uses less digits than its factorization.

12221321112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4663 (or 4656 counting only the distinct ones).

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

Adding to 12221321112 its reverse (21112312221), we get a palindrome (33333633333).

It can be divided in two parts, 12221 and 321112, that added together give a palindrome (333333).

The spelling of 12221321112 in words is "twelve billion, two hundred twenty-one million, three hundred twenty-one thousand, one hundred twelve".