11032221200 has 480 divisors, whose sum is σ = 36267678720. Its totient is φ = 3113625600.

The previous prime is 11032221191. The next prime is 11032221203. The reversal of 11032221200 is 212223011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (11032221203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23623367 + ... + 23623833.

It is an arithmetic number, because the mean of its divisors is an integer number (75557664).

Almost surely, 2^11032221200 is an apocalyptic number.

11032221200 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 11032221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18133839360).

11032221200 is an abundant number, since it is smaller than the sum of its proper divisors (25235457520).

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

11032221200 is a wasteful number, since it uses less digits than its factorization.

11032221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 11032221200 its reverse (212223011), we get a palindrome (11244444211).

It can be divided in two parts, 11032 and 221200, that added together give a palindrome (232232).

The spelling of 11032221200 in words is "eleven billion, thirty-two million, two hundred twenty-one thousand, two hundred".