22212311321200 has 720 divisors, whose sum is σ = 72219151107072. Its totient is φ = 6375283200000.

The previous prime is 22212311321191. The next prime is 22212311321261. The reversal of 22212311321200 is 212311321222.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2243436250 + ... + 2243446150.

Almost surely, 2^{22212311321200} is an apocalyptic number.

22212311321200 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 22212311321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36109575553536).

22212311321200 is an abundant number, since it is smaller than the sum of its proper divisors (50006839785872).

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

22212311321200 is a wasteful number, since it uses less digits than its factorization.

22212311321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10394 (or 10370 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 22212311321200 its sum of digits (22), we get a palindrome (22212311321222).

Adding to 22212311321200 its reverse (212311321222), we get a palindrome (22424622642422).

The spelling of 22212311321200 in words is "twenty-two trillion, two hundred twelve billion, three hundred eleven million, three hundred twenty-one thousand, two hundred".