22212012210000 has 400 divisors, whose sum is σ = 73204106887296. Its totient is φ = 5799682304000.

The previous prime is 22212012209983. The next prime is 22212012210007. The reversal of 22212012210000 is 1221021222.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22212012210007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 799756114 + ... + 799783886.

Almost surely, 2^{22212012210000} is an apocalyptic number.

22212012210000 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 22212012210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36602053443648).

22212012210000 is an abundant number, since it is smaller than the sum of its proper divisors (50992094677296).

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

22212012210000 is a wasteful number, since it uses less digits than its factorization.

22212012210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28360 (or 28339 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22212012210000 its reverse (1221021222), we get a palindrome (22213233231222).

The spelling of 22212012210000 in words is "twenty-two trillion, two hundred twelve billion, twelve million, two hundred ten thousand".