12001000122001 has 16 divisors (see below), whose sum is σ = 13188524924160. Its totient is φ = 10829779317520.

The previous prime is 12001000121987. The next prime is 12001000122017. The reversal of 12001000122001 is 10022100010021.

12001000122001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12001000122001 - 2²¹ = 12000998024849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12001000122061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4304395 + ... + 6521488.

It is an arithmetic number, because the mean of its divisors is an integer number (824282807760).

Almost surely, 2^{12001000122001} is an apocalyptic number.

12001000122001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12001000122001 is a deficient number, since it is larger than the sum of its proper divisors (1187524802159).

12001000122001 is a wasteful number, since it uses less digits than its factorization.

12001000122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10826636.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12001000122001 its reverse (10022100010021), we get a palindrome (22023100132022).

The spelling of 12001000122001 in words is "twelve trillion, one billion, one hundred twenty-two thousand, one".