11001221200 has 60 divisors (see below), whose sum is σ = 26526117820. Its totient is φ = 4384558080.

The previous prime is 11001221197. The next prime is 11001221201. The reversal of 11001221200 is 212210011.

It can be written as a sum of positive squares in 6 ways, for example, as 24049216 + 10977171984 = 4904^2 + 104772^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001221201) 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, 61156 + ... + 160444.

Almost surely, 2^11001221200 is an apocalyptic number.

11001221200 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 11001221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13263058910).

11001221200 is an abundant number, since it is smaller than the sum of its proper divisors (15524896620).

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

11001221200 is a wasteful number, since it uses less digits than its factorization.

11001221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99584 (or 99573 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11001221200 its reverse (212210011), we get a palindrome (11213431211).

The spelling of 11001221200 in words is "eleven billion, one million, two hundred twenty-one thousand, two hundred".