2232232313121 has 12 divisors (see below), whose sum is σ = 3240702751572. Its totient is φ = 1480600788576.

The previous prime is 2232232313093. The next prime is 2232232313141. The reversal of 2232232313121 is 1213132322322.

2232232313121 is a `hidden beast` number, since 2 + 2 + 3 + 22 + 323 + 1 + 312 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1674953640000 + 557278673121 = 1294200^2 + 746511^2 .

It is not a de Polignac number, because 2232232313121 - 2⁷ = 2232232312993 is a prime.

It is a super-3 number, since 3×2232232313121³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2232232313141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 629505366 + ... + 629508911.

It is an arithmetic number, because the mean of its divisors is an integer number (270058562631).

Almost surely, 2^{2232232313121} is an apocalyptic number.

It is an amenable number.

2232232313121 is a deficient number, since it is larger than the sum of its proper divisors (1008470438451).

2232232313121 is a wasteful number, since it uses less digits than its factorization.

2232232313121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259014480 (or 1259014477 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 2232232313121 its reverse (1213132322322), we get a palindrome (3445364635443).

The spelling of 2232232313121 in words is "two trillion, two hundred thirty-two billion, two hundred thirty-two million, three hundred thirteen thousand, one hundred twenty-one".