22133133312 has 208 divisors, whose sum is σ = 62504275968. Its totient is φ = 6951239680.

The previous prime is 22133133293. The next prime is 22133133313. The reversal of 22133133312 is 21333133122.

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 not an unprimeable number, because it can be changed into a prime (22133133313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20065753 + ... + 20066855.

Almost surely, 2^22133133312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22133133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31252137984).

22133133312 is an abundant number, since it is smaller than the sum of its proper divisors (40371142656).

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

22133133312 is a wasteful number, since it uses less digits than its factorization.

22133133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1202 counting only the distinct ones).

The product of its digits is 1944, while the sum is 24.

Adding to 22133133312 its reverse (21333133122), we get a palindrome (43466266434).

The spelling of 22133133312 in words is "twenty-two billion, one hundred thirty-three million, one hundred thirty-three thousand, three hundred twelve".