11002200121200 has 120 divisors (see below), whose sum is σ = 35334316695600. Its totient is φ = 2926377697280.

The previous prime is 11002200121181. The next prime is 11002200121201. The reversal of 11002200121200 is 212100220011.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11002200121201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11317905 + ... + 12251504.

It is an arithmetic number, because the mean of its divisors is an integer number (294452639130).

Almost surely, 2^{11002200121200} is an apocalyptic number.

11002200121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11002200121200 is an abundant number, since it is smaller than the sum of its proper divisors (24332116574400).

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

11002200121200 is a wasteful number, since it uses less digits than its factorization.

11002200121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23569819 (or 23569808 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11002200121200 its reverse (212100220011), we get a palindrome (11214300341211).

The spelling of 11002200121200 in words is "eleven trillion, two billion, two hundred million, one hundred twenty-one thousand, two hundred".