12122133312 has 112 divisors (see below), whose sum is σ = 32626962432. Its totient is φ = 3971304960.

The previous prime is 12122133299. The next prime is 12122133319. The reversal of 12122133312 is 21333122121.

It is a super-2 number, since 2×12122133312² (a number of 21 digits) contains 22 as substring.

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 (12122133319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5001733 + ... + 5004155.

Almost surely, 2^12122133312 is an apocalyptic number.

12122133312 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 12122133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16313481216).

12122133312 is an abundant number, since it is smaller than the sum of its proper divisors (20504829120).

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

12122133312 is a wasteful number, since it uses less digits than its factorization.

12122133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2876 (or 2866 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

Adding to 12122133312 its reverse (21333122121), we get a palindrome (33455255433).

The spelling of 12122133312 in words is "twelve billion, one hundred twenty-two million, one hundred thirty-three thousand, three hundred twelve".