11002002001200 has 360 divisors, whose sum is σ = 45250376790528. Its totient is φ = 2514743159040.

The previous prime is 11002002001189. The next prime is 11002002001201. The reversal of 11002002001200 is 210020020011.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (11002002001201) 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 71 ways as a sum of consecutive naturals, for example, 7404552 + ... + 8765351.

Almost surely, 2^{11002002001200} is an apocalyptic number.

11002002001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11002002001200 is an abundant number, since it is smaller than the sum of its proper divisors (34248374789328).

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

11002002001200 is a wasteful number, since it uses less digits than its factorization.

11002002001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16169943 (or 16169920 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11002002001200 its reverse (210020020011), we get a palindrome (11212022021211).

The spelling of 11002002001200 in words is "eleven trillion, two billion, two million, one thousand, two hundred".