11122304400 has 720 divisors, whose sum is σ = 43521214464. Its totient is φ = 2717245440.

The previous prime is 11122304359. The next prime is 11122304411. The reversal of 11122304400 is 440322111.

11122304400 is a `hidden beast` number, since 1 + 1 + 1 + 223 + 0 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 87577137 + ... + 87577263.

Almost surely, 2^11122304400 is an apocalyptic number.

11122304400 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 11122304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21760607232).

11122304400 is an abundant number, since it is smaller than the sum of its proper divisors (32398910064).

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

11122304400 is a wasteful number, since it uses less digits than its factorization.

11122304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11122304400 its reverse (440322111), we get a palindrome (11562626511).

The spelling of 11122304400 in words is "eleven billion, one hundred twenty-two million, three hundred four thousand, four hundred".