11122800 has 240 divisors, whose sum is σ = 41330688. Its totient is φ = 2534400.

The previous prime is 11122799. The next prime is 11122807. The reversal of 11122800 is 822111.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11122800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 358785 + ... + 358815.

Almost surely, 2^11122800 is an apocalyptic number.

11122800 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 11122800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20665344).

11122800 is an abundant number, since it is smaller than the sum of its proper divisors (30207888).

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

11122800 is a wasteful number, since it uses less digits than its factorization.

11122800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 11122800 is about 3335.0862057824. The cubic root of 11122800 is about 223.2225385444. Note that the first 3 decimals are identical.

Adding to 11122800 its reverse (822111), we get a palindrome (11944911).

The spelling of 11122800 in words is "eleven million, one hundred twenty-two thousand, eight hundred".