11331130222200 has 192 divisors, whose sum is σ = 35710974351360. Its totient is φ = 2971509995520.

The previous prime is 11331130222189. The next prime is 11331130222259. The reversal of 11331130222200 is 222203113311.

It is a super-2 number, since 2×11331130222200² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23600937 + ... + 24076263.

It is an arithmetic number, because the mean of its divisors is an integer number (185994658080).

Almost surely, 2^{11331130222200} is an apocalyptic number.

11331130222200 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 11331130222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17855487175680).

11331130222200 is an abundant number, since it is smaller than the sum of its proper divisors (24379844129160).

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

11331130222200 is a wasteful number, since it uses less digits than its factorization.

11331130222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476006 (or 475997 counting only the distinct ones).

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

Adding to 11331130222200 its reverse (222203113311), we get a palindrome (11553333335511).

The spelling of 11331130222200 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty million, two hundred twenty-two thousand, two hundred".