12212001121121 has 16 divisors (see below), whose sum is σ = 12519167628240. Its totient is φ = 11905281454080.

The previous prime is 12212001121051. The next prime is 12212001121141. The reversal of 12212001121121 is 12112110021221.

It can be written as a sum of positive squares in 8 ways, for example, as 159376608400 + 12052624512721 = 399220^2 + 3471689^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12212001121121 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12212001121121.

It is not an unprimeable number, because it can be changed into a prime (12212001121141) 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, 336688175 + ... + 336724443.

It is an arithmetic number, because the mean of its divisors is an integer number (782447976765).

Almost surely, 2^{12212001121121} is an apocalyptic number.

It is an amenable number.

12212001121121 is a deficient number, since it is larger than the sum of its proper divisors (307166507119).

12212001121121 is a wasteful number, since it uses less digits than its factorization.

12212001121121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42196.

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

Adding to 12212001121121 its reverse (12112110021221), we get a palindrome (24324111142342).

The spelling of 12212001121121 in words is "twelve trillion, two hundred twelve billion, one million, one hundred twenty-one thousand, one hundred twenty-one".