11102224400 has 120 divisors (see below), whose sum is σ = 28237255200. Its totient is φ = 4183142400.

The previous prime is 11102224387. The next prime is 11102224451. The reversal of 11102224400 is 442220111.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1356320 + ... + 1364480.

It is an arithmetic number, because the mean of its divisors is an integer number (235310460).

Almost surely, 2^11102224400 is an apocalyptic number.

11102224400 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 11102224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14118627600).

11102224400 is an abundant number, since it is smaller than the sum of its proper divisors (17135030800).

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

11102224400 is a wasteful number, since it uses less digits than its factorization.

11102224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8377 (or 8366 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 11102224400 its reverse (442220111), we get a palindrome (11544444511).

It can be divided in two parts, 11102224 and 400, that multiplied together give a square (4440889600 = 66640²).

The spelling of 11102224400 in words is "eleven billion, one hundred two million, two hundred twenty-four thousand, four hundred".