123126833 has 2 divisors, whose sum is σ = 123126834. Its totient is φ = 123126832.

The previous prime is 123126803. The next prime is 123126841. The reversal of 123126833 is 338621321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106667584 + 16459249 = 10328^2 + 4057^2 .

It is a cyclic number.

It is not a de Polignac number, because 123126833 - 2¹⁰ = 123125809 is a prime.

It is equal to p_7009463 and since 123126833 and 7009463 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 123126796 and 123126805.

It is not a weakly prime, because it can be changed into another prime (123126803) 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, 61563416 + 61563417.

It is an arithmetic number, because the mean of its divisors is an integer number (61563417).

Almost surely, 2^123126833 is an apocalyptic number.

It is an amenable number.

123126833 is a deficient number, since it is larger than the sum of its proper divisors (1).

123126833 is an equidigital number, since it uses as much as digits as its factorization.

123126833 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5184, while the sum is 29.

The square root of 123126833 is about 11096.2531063418. The cubic root of 123126833 is about 497.4898635175.

The spelling of 123126833 in words is "one hundred twenty-three million, one hundred twenty-six thousand, eight hundred thirty-three".