22212012130000 has 1200 divisors, whose sum is σ = 72673325841600. Its totient is φ = 6482488320000.

The previous prime is 22212012129959. The next prime is 22212012130039. The reversal of 22212012130000 is 3121021222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9114488782 + ... + 9114491218.

It is an arithmetic number, because the mean of its divisors is an integer number (60561104868).

Almost surely, 2^{22212012130000} is an apocalyptic number.

22212012130000 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 22212012130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36336662920800).

22212012130000 is an abundant number, since it is smaller than the sum of its proper divisors (50461313711600).

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

22212012130000 is a wasteful number, since it uses less digits than its factorization.

22212012130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598 (or 2570 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 22212012130000 its reverse (3121021222), we get a palindrome (22215133151222).

The spelling of 22212012130000 in words is "twenty-two trillion, two hundred twelve billion, twelve million, one hundred thirty thousand".