123121249 has 2 divisors, whose sum is σ = 123121250. Its totient is φ = 123121248.

The previous prime is 123121217. The next prime is 123121253. The reversal of 123121249 is 942121321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111513600 + 11607649 = 10560^2 + 3407^2 .

It is a cyclic number.

It is not a de Polignac number, because 123121249 - 2⁵ = 123121217 is a prime.

It is equal to p_7009162 and since 123121249 and 7009162 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (123121049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61560624 + 61560625.

It is an arithmetic number, because the mean of its divisors is an integer number (61560625).

Almost surely, 2^123121249 is an apocalyptic number.

It is an amenable number.

123121249 is a deficient number, since it is larger than the sum of its proper divisors (1).

123121249 is an equidigital number, since it uses as much as digits as its factorization.

123121249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 864, while the sum is 25.

The square root of 123121249 is about 11096.0014870223. The cubic root of 123121249 is about 497.4823427485.

The spelling of 123121249 in words is "one hundred twenty-three million, one hundred twenty-one thousand, two hundred forty-nine".