22201133131200 has 168 divisors, whose sum is σ = 72858116960640. Its totient is φ = 5918684748800.

The previous prime is 22201133131181. The next prime is 22201133131231. The reversal of 22201133131200 is 213133110222.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 16990831 + ... + 18250769.

Almost surely, 2^{22201133131200} is an apocalyptic number.

22201133131200 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 22201133131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36429058480320).

22201133131200 is an abundant number, since it is smaller than the sum of its proper divisors (50656983829440).

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

22201133131200 is a wasteful number, since it uses less digits than its factorization.

22201133131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263635 (or 1263620 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 22201133131200 its reverse (213133110222), we get a palindrome (22414266241422).

The spelling of 22201133131200 in words is "twenty-two trillion, two hundred one billion, one hundred thirty-three million, one hundred thirty-one thousand, two hundred".