123112321 has 2 divisors, whose sum is σ = 123112322. Its totient is φ = 123112320.

The previous prime is 123112313. The next prime is 123112331. The reversal of 123112321 is 123211321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62583921 + 60528400 = 7911^2 + 7780^2 .

It is an emirp because it is prime and its reverse (123211321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 123112321 - 2³ = 123112313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123112295 and 123112304.

It is not a weakly prime, because it can be changed into another prime (123112331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61556160 + 61556161.

It is an arithmetic number, because the mean of its divisors is an integer number (61556161).

Almost surely, 2^123112321 is an apocalyptic number.

It is an amenable number.

123112321 is a deficient number, since it is larger than the sum of its proper divisors (1).

123112321 is an equidigital number, since it uses as much as digits as its factorization.

123112321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72, while the sum is 16.

The square root of 123112321 is about 11095.5991726450. The cubic root of 123112321 is about 497.4703176655.

Adding to 123112321 its reverse (123211321), we get a palindrome (246323642).

The spelling of 123112321 in words is "one hundred twenty-three million, one hundred twelve thousand, three hundred twenty-one".