11023321200 has 480 divisors, whose sum is σ = 38913580800. Its totient is φ = 2657525760.

The previous prime is 11023321157. The next prime is 11023321223. The reversal of 11023321200 is 212332011.

It is a super-2 number, since 2×11023321200² (a number of 21 digits) contains 22 as substring.

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 11023321200.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 61582711 + ... + 61582889.

It is an arithmetic number, because the mean of its divisors is an integer number (81069960).

Almost surely, 2^11023321200 is an apocalyptic number.

11023321200 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 11023321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19456790400).

11023321200 is an abundant number, since it is smaller than the sum of its proper divisors (27890259600).

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

11023321200 is a wasteful number, since it uses less digits than its factorization.

11023321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11023321200 its reverse (212332011), we get a palindrome (11235653211).

The spelling of 11023321200 in words is "eleven billion, twenty-three million, three hundred twenty-one thousand, two hundred".