11201322400 has 36 divisors (see below), whose sum is σ = 27345230262. Its totient is φ = 4480528640.

The previous prime is 11201322383. The next prime is 11201322401. The reversal of 11201322400 is 422310211.

11201322400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 10308747024 + 892575376 = 101532^2 + 29876^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (11201322401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7000027 + ... + 7001626.

Almost surely, 2^11201322400 is an apocalyptic number.

11201322400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201322400 is an abundant number, since it is smaller than the sum of its proper divisors (16143907862).

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

11201322400 is a wasteful number, since it uses less digits than its factorization.

11201322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14001673 (or 14001660 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11201322400 its reverse (422310211), we get a palindrome (11623632611).

The spelling of 11201322400 in words is "eleven billion, two hundred one million, three hundred twenty-two thousand, four hundred".