12211222131312 has 160 divisors (see below), whose sum is σ = 34612425734400. Its totient is φ = 3695954448384.

The previous prime is 12211222131299. The next prime is 12211222131343. The reversal of 12211222131312 is 21313122211221.

It is a super-2 number, since 2×12211222131312² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 439737 + ... + 4961432.

It is an arithmetic number, because the mean of its divisors is an integer number (216327660840).

Almost surely, 2^{12211222131312} is an apocalyptic number.

12211222131312 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 12211222131312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17306212867200).

12211222131312 is an abundant number, since it is smaller than the sum of its proper divisors (22401203603088).

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

12211222131312 is a wasteful number, since it uses less digits than its factorization.

12211222131312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5401303 (or 5401297 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

Adding to 12211222131312 its reverse (21313122211221), we get a palindrome (33524344342533).

The spelling of 12211222131312 in words is "twelve trillion, two hundred eleven billion, two hundred twenty-two million, one hundred thirty-one thousand, three hundred twelve".