11002000122200 has 288 divisors, whose sum is σ = 27190676872800. Its totient is φ = 4138869504000.

The previous prime is 11002000122187. The next prime is 11002000122221. The reversal of 11002000122200 is 222100020011.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3072324410 + ... + 3072327990.

It is an arithmetic number, because the mean of its divisors is an integer number (94412072475).

Almost surely, 2^{11002000122200} is an apocalyptic number.

11002000122200 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 11002000122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13595338436400).

11002000122200 is an abundant number, since it is smaller than the sum of its proper divisors (16188676750600).

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

11002000122200 is a wasteful number, since it uses less digits than its factorization.

11002000122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4123 (or 4091 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 11002000122200 its reverse (222100020011), we get a palindrome (11224100142211).

The spelling of 11002000122200 in words is "eleven trillion, two billion, one hundred twenty-two thousand, two hundred".