12122001111001 has 2 divisors, whose sum is σ = 12122001111002. Its totient is φ = 12122001111000.

The previous prime is 12122001110969. The next prime is 12122001111053. The reversal of 12122001111001 is 10011110022121.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11488703471001 + 633297640000 = 3389499^2 + 795800^2 .

It is a cyclic number.

It is not a de Polignac number, because 12122001111001 - 2⁵ = 12122001110969 is a prime.

It is not a weakly prime, because it can be changed into another prime (12122001111401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6061000555500 + 6061000555501.

It is an arithmetic number, because the mean of its divisors is an integer number (6061000555501).

Almost surely, 2^{12122001111001} is an apocalyptic number.

It is an amenable number.

12122001111001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122001111001 is an equidigital number, since it uses as much as digits as its factorization.

12122001111001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12122001111001 its reverse (10011110022121), we get a palindrome (22133111133122).

The spelling of 12122001111001 in words is "twelve trillion, one hundred twenty-two billion, one million, one hundred eleven thousand, one".