122723441 has 2 divisors, whose sum is σ = 122723442. Its totient is φ = 122723440.

The previous prime is 122723401. The next prime is 122723443. The reversal of 122723441 is 144327221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 115455025 + 7268416 = 10745^2 + 2696^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122723441 is a prime.

It is a super-2 number, since 2×122723441² = 30122085941760962, which contains 22 as substring.

Together with 122723443, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122723441.

It is not a weakly prime, because it can be changed into another prime (122723443) 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, 61361720 + 61361721.

It is an arithmetic number, because the mean of its divisors is an integer number (61361721).

Almost surely, 2^122723441 is an apocalyptic number.

It is an amenable number.

122723441 is a deficient number, since it is larger than the sum of its proper divisors (1).

122723441 is an equidigital number, since it uses as much as digits as its factorization.

122723441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2688, while the sum is 26.

The square root of 122723441 is about 11078.0612473483. The cubic root of 122723441 is about 496.9459718038.

The spelling of 122723441 in words is "one hundred twenty-two million, seven hundred twenty-three thousand, four hundred forty-one".