12000201220001 has 16 divisors (see below), whose sum is σ = 12457530464400. Its totient is φ = 11545781307648.

The previous prime is 12000201219931. The next prime is 12000201220009. The reversal of 12000201220001 is 10002210200021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1384340496400 + 10615860723601 = 1176580^2 + 3258199^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12000201220001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12000201220009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100111235 + ... + 100231031.

It is an arithmetic number, because the mean of its divisors is an integer number (778595654025).

Almost surely, 2^{12000201220001} is an apocalyptic number.

It is an amenable number.

12000201220001 is a deficient number, since it is larger than the sum of its proper divisors (457329244399).

12000201220001 is a wasteful number, since it uses less digits than its factorization.

12000201220001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131908.

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

Adding to 12000201220001 its reverse (10002210200021), we get a palindrome (22002411420022).

The spelling of 12000201220001 in words is "twelve trillion, two hundred one million, two hundred twenty thousand, one".