11332221333312 has 112 divisors (see below), whose sum is σ = 32741206909632. Its totient is φ = 3430615879680.

The previous prime is 11332221333271. The next prime is 11332221333313. The reversal of 11332221333312 is 21333312223311.

11332221333312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11332221333312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11332221333313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 508933 + ... + 4787844.

Almost surely, 2^{11332221333312} is an apocalyptic number.

11332221333312 is a gapful number since it is divisible by the number (12) 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 11332221333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16370603454816).

11332221333312 is an abundant number, since it is smaller than the sum of its proper divisors (21408985576320).

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

11332221333312 is a wasteful number, since it uses less digits than its factorization.

11332221333312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5297816 (or 5297806 counting only the distinct ones).

The product of its digits is 11664, while the sum is 30.

Adding to 11332221333312 its reverse (21333312223311), we get a palindrome (32665533556623).

The spelling of 11332221333312 in words is "eleven trillion, three hundred thirty-two billion, two hundred twenty-one million, three hundred thirty-three thousand, three hundred twelve".