22022012010000 has 200 divisors, whose sum is σ = 71098100075200. Its totient is φ = 5871866688000.

The previous prime is 22022012009993. The next prime is 22022012010001. The reversal of 22022012010000 is 1021022022.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (22022012010001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 298433109 + ... + 298506891.

It is an arithmetic number, because the mean of its divisors is an integer number (355490500376).

Almost surely, 2^{22022012010000} is an apocalyptic number.

22022012010000 is a gapful number since it is divisible by the number (20) 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 22022012010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35549050037600).

22022012010000 is an abundant number, since it is smaller than the sum of its proper divisors (49076088065200).

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

22022012010000 is an equidigital number, since it uses as much as digits as its factorization.

22022012010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83763 (or 83742 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22022012010000 its reverse (1021022022), we get a palindrome (22023033032022).

The spelling of 22022012010000 in words is "twenty-two trillion, twenty-two billion, twelve million, ten thousand".