12000122122001 has 16 divisors (see below), whose sum is σ = 13486867946496. Its totient is φ = 10594026290496.

The previous prime is 12000122121971. The next prime is 12000122122031. The reversal of 12000122122001 is 10022122100021.

It is an interprime number because it is at equal distance from previous prime (12000122121971) and next prime (12000122122031).

It is a cyclic number.

It is not a de Polignac number, because 12000122122001 - 2¹⁴ = 12000122105617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12000122122031) 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, 379010 + ... + 4913643.

It is an arithmetic number, because the mean of its divisors is an integer number (842929246656).

Almost surely, 2^{12000122122001} is an apocalyptic number.

It is an amenable number.

12000122122001 is a deficient number, since it is larger than the sum of its proper divisors (1486745824495).

12000122122001 is a wasteful number, since it uses less digits than its factorization.

12000122122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5300272.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12000122122001 its reverse (10022122100021), we get a palindrome (22022244222022).

The spelling of 12000122122001 in words is "twelve trillion, one hundred twenty-two million, one hundred twenty-two thousand, one".