12001012200 has 72 divisors (see below), whose sum is σ = 40303405350. Its totient is φ = 3200269440.

The previous prime is 12001012187. The next prime is 12001012207. The reversal of 12001012200 is 221010021.

12001012200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 7087282596 + 4913729604 = 84186^2 + 70098^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (12001012207) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 3331815 + ... + 3335414.

Almost surely, 2^12001012200 is an apocalyptic number.

12001012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001012200 is an abundant number, since it is smaller than the sum of its proper divisors (28302393150).

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

12001012200 is a wasteful number, since it uses less digits than its factorization.

12001012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6667251 (or 6667239 counting only the distinct ones).

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

Adding to 12001012200 its reverse (221010021), we get a palindrome (12222022221).

The spelling of 12001012200 in words is "twelve billion, one million, twelve thousand, two hundred".