12001200122121 has 64 divisors (see below), whose sum is σ = 18401676982272. Its totient is φ = 6815204554752.

The previous prime is 12001200122071. The next prime is 12001200122147. The reversal of 12001200122121 is 12122100210021.

It is not a de Polignac number, because 12001200122121 - 2⁶ = 12001200122057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12001200122121.

It is not an unprimeable number, because it can be changed into a prime (12001200122221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3059187466 + ... + 3059191388.

It is an arithmetic number, because the mean of its divisors is an integer number (287526202848).

Almost surely, 2^{12001200122121} is an apocalyptic number.

It is an amenable number.

12001200122121 is a deficient number, since it is larger than the sum of its proper divisors (6400476860151).

12001200122121 is a wasteful number, since it uses less digits than its factorization.

12001200122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5582.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12001200122121 its reverse (12122100210021), we get a palindrome (24123300332142).

It can be divided in two parts, 1200120012 and 2121, that multiplied together give a palindrome (2545454545452).

The spelling of 12001200122121 in words is "twelve trillion, one billion, two hundred million, one hundred twenty-two thousand, one hundred twenty-one".