11213221200 has 360 divisors, whose sum is σ = 38248968576. Its totient is φ = 2806272000.

The previous prime is 11213221189. The next prime is 11213221207. The reversal of 11213221200 is 212231211.

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 11213221200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11213221207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41377065 + ... + 41377335.

Almost surely, 2^11213221200 is an apocalyptic number.

11213221200 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 11213221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19124484288).

11213221200 is an abundant number, since it is smaller than the sum of its proper divisors (27035747376).

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

11213221200 is a wasteful number, since it uses less digits than its factorization.

11213221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11213221200 its reverse (212231211), we get a palindrome (11425452411).

The spelling of 11213221200 in words is "eleven billion, two hundred thirteen million, two hundred twenty-one thousand, two hundred".