11331122002200 has 1728 divisors, whose sum is σ = 53413187274720. Its totient is φ = 2114574336000.

The previous prime is 11331122002153. The next prime is 11331122002201. The reversal of 11331122002200 is 220022113311.

11331122002200 is a `hidden beast` number, since 1 + 133 + 112 + 200 + 220 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331122002201) 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 431 ways as a sum of consecutive naturals, for example, 466654060 + ... + 466678340.

Almost surely, 2^{11331122002200} is an apocalyptic number.

11331122002200 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 11331122002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26706593637360).

11331122002200 is an abundant number, since it is smaller than the sum of its proper divisors (42082065272520).

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

11331122002200 is a wasteful number, since it uses less digits than its factorization.

11331122002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24378 (or 24359 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11331122002200 its reverse (220022113311), we get a palindrome (11551144115511).

The spelling of 11331122002200 in words is "eleven trillion, three hundred thirty-one billion, one hundred twenty-two million, two thousand, two hundred".