22411134312 has 256 divisors, whose sum is σ = 69866496000. Its totient is φ = 5973327360.

The previous prime is 22411134307. The next prime is 22411134349. The reversal of 22411134312 is 21343111422.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7761333 + ... + 7764219.

It is an arithmetic number, because the mean of its divisors is an integer number (272916000).

Almost surely, 2^22411134312 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 22411134312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34933248000).

22411134312 is an abundant number, since it is smaller than the sum of its proper divisors (47455361688).

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

22411134312 is a wasteful number, since it uses less digits than its factorization.

22411134312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2981 (or 2963 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 22411134312 its reverse (21343111422), we get a palindrome (43754245734).

The spelling of 22411134312 in words is "twenty-two billion, four hundred eleven million, one hundred thirty-four thousand, three hundred twelve".