11200224400 has 30 divisors (see below), whose sum is σ = 26908540082. Its totient is φ = 4480089600.

The previous prime is 11200224397. The next prime is 11200224437. The reversal of 11200224400 is 442200211.

11200224400 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 1164993424 + 10035230976 = 34132^2 + 100176^2 .

It is a super-2 number, since 2×11200224400² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

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, 13999881 + ... + 14000680.

Almost surely, 2^11200224400 is an apocalyptic number.

11200224400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11200224400 is an abundant number, since it is smaller than the sum of its proper divisors (15708315682).

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

11200224400 is a wasteful number, since it uses less digits than its factorization.

11200224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28000579 (or 28000568 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 11200224400 its reverse (442200211), we get a palindrome (11642424611).

The spelling of 11200224400 in words is "eleven billion, two hundred million, two hundred twenty-four thousand, four hundred".