11122011200 has 84 divisors (see below), whose sum is σ = 27618606180. Its totient is φ = 4407920640.

The previous prime is 11122011179. The next prime is 11122011203. The reversal of 11122011200 is 211022111.

It can be written as a sum of positive squares in 6 ways, for example, as 1126810624 + 9995200576 = 33568^2 + 99976^2 .

It is not an unprimeable number, because it can be changed into a prime (11122011203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142514 + ... + 206286.

Almost surely, 2^11122011200 is an apocalyptic number.

11122011200 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 11122011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13809303090).

11122011200 is an abundant number, since it is smaller than the sum of its proper divisors (16496594980).

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

11122011200 is a wasteful number, since it uses less digits than its factorization.

11122011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63904 (or 63889 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11122011200 its reverse (211022111), we get a palindrome (11333033311).

The spelling of 11122011200 in words is "eleven billion, one hundred twenty-two million, eleven thousand, two hundred".