11022221200 has 60 divisors (see below), whose sum is σ = 26579587860. Its totient is φ = 4392455680.

The previous prime is 11022221149. The next prime is 11022221257. The reversal of 11022221200 is 212222011.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 96118416 + 10926102784 = 9804^2 + 104528^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56382 + ... + 158818.

It is an arithmetic number, because the mean of its divisors is an integer number (442993131).

Almost surely, 2^11022221200 is an apocalyptic number.

11022221200 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 11022221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13289793930).

11022221200 is an abundant number, since it is smaller than the sum of its proper divisors (15557366660).

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

11022221200 is a wasteful number, since it uses less digits than its factorization.

11022221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102724 (or 102713 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 11022221200 its reverse (212222011), we get a palindrome (11234443211).

The spelling of 11022221200 in words is "eleven billion, twenty-two million, two hundred twenty-one thousand, two hundred".