12202211201121 has 24 divisors (see below), whose sum is σ = 17777185756200. Its totient is φ = 8064990775296.

The previous prime is 12202211201093. The next prime is 12202211201137. The reversal of 12202211201121 is 12110211220221.

12202211201121 is a `hidden beast` number, since 1 + 220 + 221 + 1 + 201 + 1 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15584026896 + 12186627174225 = 124836^2 + 3490935^2 .

It is not a de Polignac number, because 12202211201121 - 2¹³ = 12202211192929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12202211201094 and 12202211201103.

It is not an unprimeable number, because it can be changed into a prime (12202211201171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8982130 + ... + 10251003.

It is an arithmetic number, because the mean of its divisors is an integer number (740716073175).

Almost surely, 2^{12202211201121} is an apocalyptic number.

It is an amenable number.

12202211201121 is a deficient number, since it is larger than the sum of its proper divisors (5574974555079).

12202211201121 is a wasteful number, since it uses less digits than its factorization.

12202211201121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19233745 (or 19233742 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12202211201121 its reverse (12110211220221), we get a palindrome (24312422421342).

The spelling of 12202211201121 in words is "twelve trillion, two hundred two billion, two hundred eleven million, two hundred one thousand, one hundred twenty-one".