11232223314200 has 384 divisors, whose sum is σ = 31929926353920. Its totient is φ = 3590717644800.

The previous prime is 11232223314173. The next prime is 11232223314233. The reversal of 11232223314200 is 241332223211.

It is a self number, because there is not a number n which added to its sum of digits gives 11232223314200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1957853732 + ... + 1957859468.

It is an arithmetic number, because the mean of its divisors is an integer number (83150849880).

Almost surely, 2^{11232223314200} is an apocalyptic number.

11232223314200 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 11232223314200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15964963176960).

11232223314200 is an abundant number, since it is smaller than the sum of its proper divisors (20697703039720).

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

11232223314200 is a wasteful number, since it uses less digits than its factorization.

11232223314200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7307 (or 7298 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 11232223314200 its reverse (241332223211), we get a palindrome (11473555537411).

The spelling of 11232223314200 in words is "eleven trillion, two hundred thirty-two billion, two hundred twenty-three million, three hundred fourteen thousand, two hundred".