11204432444200 has 96 divisors (see below), whose sum is σ = 26204785520760. Its totient is φ = 4455270604800.

The previous prime is 11204432444159. The next prime is 11204432444203. The reversal of 11204432444200 is 244423440211.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 999436079524 + 10204996364676 = 999718^2 + 3194526^2 .

It is a super-2 number, since 2×11204432444200² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11204432444203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23754660 + ... + 24221740.

Almost surely, 2^{11204432444200} is an apocalyptic number.

11204432444200 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 11204432444200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13102392760380).

11204432444200 is an abundant number, since it is smaller than the sum of its proper divisors (15000353076560).

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

11204432444200 is a wasteful number, since it uses less digits than its factorization.

11204432444200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467807 (or 467798 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 11204432444200 its reverse (244423440211), we get a palindrome (11448855884411).

The spelling of 11204432444200 in words is "eleven trillion, two hundred four billion, four hundred thirty-two million, four hundred forty-four thousand, two hundred".