11133022400 has 84 divisors (see below), whose sum is σ = 27724574472. Its totient is φ = 4399503360.

The previous prime is 11133022363. The next prime is 11133022403. The reversal of 11133022400 is 422033111.

It is not an unprimeable number, because it can be changed into a prime (11133022403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90884 + ... + 174716.

It is an arithmetic number, because the mean of its divisors is an integer number (330054458).

Almost surely, 2^11133022400 is an apocalyptic number.

11133022400 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 11133022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13862287236).

11133022400 is an abundant number, since it is smaller than the sum of its proper divisors (16591552072).

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

11133022400 is an equidigital number, since it uses as much as digits as its factorization.

11133022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83938 (or 83923 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 11133022400 its reverse (422033111), we get a palindrome (11555055511).

The spelling of 11133022400 in words is "eleven billion, one hundred thirty-three million, twenty-two thousand, four hundred".