11122424400 has 120 divisors (see below), whose sum is σ = 35658942880. Its totient is φ = 2963473920.

The previous prime is 11122424377. The next prime is 11122424441. The reversal of 11122424400 is 442422111.

11122424400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1740411 + ... + 1746789.

Almost surely, 2^11122424400 is an apocalyptic number.

11122424400 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 11122424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17829471440).

11122424400 is an abundant number, since it is smaller than the sum of its proper divisors (24536518480).

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

11122424400 is a wasteful number, since it uses less digits than its factorization.

11122424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7853 (or 7842 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 11122424400 its reverse (442422111), we get a palindrome (11564846511).

The spelling of 11122424400 in words is "eleven billion, one hundred twenty-two million, four hundred twenty-four thousand, four hundred".