11211323200 has 672 divisors, whose sum is σ = 37471673088. Its totient is φ = 3194880000.

The previous prime is 11211323173. The next prime is 11211323209. The reversal of 11211323200 is 232311211.

11211323200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211323209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111003150 + ... + 111003250.

Almost surely, 2^11211323200 is an apocalyptic number.

11211323200 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 11211323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18735836544).

11211323200 is an abundant number, since it is smaller than the sum of its proper divisors (26260349888).

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

11211323200 is a wasteful number, since it uses less digits than its factorization.

11211323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11211323200 its reverse (232311211), we get a palindrome (11443634411).

The spelling of 11211323200 in words is "eleven billion, two hundred eleven million, three hundred twenty-three thousand, two hundred".