11124244400 has 120 divisors (see below), whose sum is σ = 27960487200. Its totient is φ = 4245176320.

The previous prime is 11124244399. The next prime is 11124244409. The reversal of 11124244400 is 444242111.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (11124244409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4129454 + ... + 4132146.

It is an arithmetic number, because the mean of its divisors is an integer number (233004060).

Almost surely, 2^11124244400 is an apocalyptic number.

11124244400 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 11124244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13980243600).

11124244400 is an abundant number, since it is smaller than the sum of its proper divisors (16836242800).

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

11124244400 is a wasteful number, since it uses less digits than its factorization.

11124244400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3183 (or 3172 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 11124244400 its reverse (444242111), we get a palindrome (11568486511).

The spelling of 11124244400 in words is "eleven billion, one hundred twenty-four million, two hundred forty-four thousand, four hundred".