11133330122200 has 384 divisors, whose sum is σ = 31756222471680. Its totient is φ = 3571912396800.

The previous prime is 11133330122143. The next prime is 11133330122287. The reversal of 11133330122200 is 222103333111.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1001823844 + ... + 1001834956.

It is an arithmetic number, because the mean of its divisors is an integer number (82698496020).

Almost surely, 2^{11133330122200} is an apocalyptic number.

11133330122200 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 11133330122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15878111235840).

11133330122200 is an abundant number, since it is smaller than the sum of its proper divisors (20622892349480).

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

11133330122200 is a wasteful number, since it uses less digits than its factorization.

11133330122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12699 (or 12690 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 11133330122200 its reverse (222103333111), we get a palindrome (11355433455311).

The spelling of 11133330122200 in words is "eleven trillion, one hundred thirty-three billion, three hundred thirty million, one hundred twenty-two thousand, two hundred".