22133123712 has 288 divisors, whose sum is σ = 76831728480. Its totient is φ = 5990132736.

The previous prime is 22133123711. The next prime is 22133123737. The reversal of 22133123712 is 21732133122.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (22133123711) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2907303 + ... + 2914905.

It is an arithmetic number, because the mean of its divisors is an integer number (266776835).

Almost surely, 2^22133123712 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 22133123712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38415864240).

22133123712 is an abundant number, since it is smaller than the sum of its proper divisors (54698604768).

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

22133123712 is a wasteful number, since it uses less digits than its factorization.

22133123712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7668 (or 7634 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

Adding to 22133123712 its reverse (21732133122), we get a palindrome (43865256834).

The spelling of 22133123712 in words is "twenty-two billion, one hundred thirty-three million, one hundred twenty-three thousand, seven hundred twelve".