11122022121800 has 192 divisors, whose sum is σ = 28583812818000. Its totient is φ = 4005637816320.

The previous prime is 11122022121779. The next prime is 11122022121823. The reversal of 11122022121800 is 812122022111.

It can be written as a sum of positive squares in 24 ways, for example, as 2208011739844 + 8914010381956 = 1485938^2 + 2985634^2 .

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 47 ways as a sum of consecutive naturals, for example, 10229972 + ... + 11264828.

Almost surely, 2^{11122022121800} is an apocalyptic number.

11122022121800 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 11122022121800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14291906409000).

11122022121800 is an abundant number, since it is smaller than the sum of its proper divisors (17461790696200).

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

11122022121800 is a wasteful number, since it uses less digits than its factorization.

11122022121800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035028 (or 1035019 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 23.

Adding to 11122022121800 its reverse (812122022111), we get a palindrome (11934144143911).

The spelling of 11122022121800 in words is "eleven trillion, one hundred twenty-two billion, twenty-two million, one hundred twenty-one thousand, eight hundred".