12120122111201 has 8 divisors (see below), whose sum is σ = 13071058948584. Its totient is φ = 11171845238400.

The previous prime is 12120122111191. The next prime is 12120122111219. The reversal of 12120122111201 is 10211122102121.

It can be written as a sum of positive squares in 4 ways, for example, as 2219980801600 + 9900141309601 = 1489960^2 + 3146449^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12120122111201 - 2¹⁰ = 12120122110177 is a prime.

It is a super-3 number, since 3×12120122111201³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12120122111201.

It is not an unprimeable number, because it can be changed into a prime (12120122111281) 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 7 ways as a sum of consecutive naturals, for example, 664981676 + ... + 664999901.

It is an arithmetic number, because the mean of its divisors is an integer number (1633882368573).

Almost surely, 2^{12120122111201} is an apocalyptic number.

It is an amenable number.

12120122111201 is a deficient number, since it is larger than the sum of its proper divisors (950936837383).

12120122111201 is a wasteful number, since it uses less digits than its factorization.

12120122111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329982291.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 12120122111201 its reverse (10211122102121), we get a palindrome (22331244213322).

The spelling of 12120122111201 in words is "twelve trillion, one hundred twenty billion, one hundred twenty-two million, one hundred eleven thousand, two hundred one".