11122202221200 has 1440 divisors, whose sum is σ = 46811460124800. Its totient is φ = 2500469637120.

The previous prime is 11122202221181. The next prime is 11122202221213. The reversal of 11122202221200 is 212220222111.

It is a happy number.

11122202221200 is a `hidden beast` number, since 11 + 12 + 220 + 2 + 221 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13748086396 + ... + 13748087204.

It is an arithmetic number, because the mean of its divisors is an integer number (32507958420).

Almost surely, 2^{11122202221200} is an apocalyptic number.

11122202221200 is a gapful number since it is divisible by the number (10) 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 11122202221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23405730062400).

11122202221200 is an abundant number, since it is smaller than the sum of its proper divisors (35689257903600).

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

11122202221200 is a wasteful number, since it uses less digits than its factorization.

11122202221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11122202221200 its reverse (212220222111), we get a palindrome (11334422443311).

The spelling of 11122202221200 in words is "eleven trillion, one hundred twenty-two billion, two hundred two million, two hundred twenty-one thousand, two hundred".