11212233031200 has 288 divisors, whose sum is σ = 37330713181440. Its totient is φ = 2921729228800.

The previous prime is 11212233031187. The next prime is 11212233031201. The reversal of 11212233031200 is 213033221211.

It is not an unprimeable number, because it can be changed into a prime (11212233031201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 72227266 + ... + 72382334.

It is an arithmetic number, because the mean of its divisors is an integer number (129620531880).

Almost surely, 2^{11212233031200} is an apocalyptic number.

11212233031200 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 11212233031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18665356590720).

11212233031200 is an abundant number, since it is smaller than the sum of its proper divisors (26118480150240).

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

11212233031200 is a wasteful number, since it uses less digits than its factorization.

11212233031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155780 (or 155767 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 11212233031200 its reverse (213033221211), we get a palindrome (11425266252411).

The spelling of 11212233031200 in words is "eleven trillion, two hundred twelve billion, two hundred thirty-three million, thirty-one thousand, two hundred".