12002122011001 has 16 divisors (see below), whose sum is σ = 12530457999360. Its totient is φ = 11484577932480.

The previous prime is 12002122010981. The next prime is 12002122011017. The reversal of 12002122011001 is 10011022120021.

12002122011001 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 12002122011001 - 2⁵ = 12002122010969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12002122011031) 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, 14769060 + ... + 15560506.

It is an arithmetic number, because the mean of its divisors is an integer number (783153624960).

Almost surely, 2^{12002122011001} is an apocalyptic number.

It is an amenable number.

12002122011001 is a deficient number, since it is larger than the sum of its proper divisors (528335988359).

12002122011001 is an equidigital number, since it uses as much as digits as its factorization.

12002122011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798264.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12002122011001 its reverse (10011022120021), we get a palindrome (22013144131022).

The spelling of 12002122011001 in words is "twelve trillion, two billion, one hundred twenty-two million, eleven thousand, one".