22201431111200 has 144 divisors (see below), whose sum is σ = 59216184609120. Its totient is φ = 8060994816000.

The previous prime is 22201431111199. The next prime is 22201431111227. The reversal of 22201431111200 is 211113410222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3885020 + ... + 7713380.

It is an arithmetic number, because the mean of its divisors is an integer number (411223504230).

Almost surely, 2^{22201431111200} is an apocalyptic number.

22201431111200 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 22201431111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29608092304560).

22201431111200 is an abundant number, since it is smaller than the sum of its proper divisors (37014753497920).

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

22201431111200 is a wasteful number, since it uses less digits than its factorization.

22201431111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3829051 (or 3829038 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 22201431111200 its reverse (211113410222), we get a palindrome (22412544521422).

The spelling of 22201431111200 in words is "twenty-two trillion, two hundred one billion, four hundred thirty-one million, one hundred eleven thousand, two hundred".