11223200455200 has 432 divisors, whose sum is σ = 41669320492800. Its totient is φ = 2834615347200.

The previous prime is 11223200455199. The next prime is 11223200455231. The reversal of 11223200455200 is 255400232211.

11223200455200 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 3 + 2 + 0 + 0 + 455 + 200 = 666.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 722159430 + ... + 722174970.

It is an arithmetic number, because the mean of its divisors is an integer number (96456760400).

Almost surely, 2^{11223200455200} is an apocalyptic number.

11223200455200 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 11223200455200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20834660246400).

11223200455200 is an abundant number, since it is smaller than the sum of its proper divisors (30446120037600).

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

11223200455200 is a wasteful number, since it uses less digits than its factorization.

11223200455200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20865 (or 20849 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 11223200455200 its reverse (255400232211), we get a palindrome (11478600687411).

The spelling of 11223200455200 in words is "eleven trillion, two hundred twenty-three billion, two hundred million, four hundred fifty-five thousand, two hundred".