122624641 has 2 divisors, whose sum is σ = 122624642. Its totient is φ = 122624640.

The previous prime is 122624639. The next prime is 122624647. The reversal of 122624641 is 146426221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 122567041 + 57600 = 11071^2 + 240^2 .

It is a cyclic number.

It is not a de Polignac number, because 122624641 - 2¹ = 122624639 is a prime.

Together with 122624639, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (122624647) 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, 61312320 + 61312321.

It is an arithmetic number, because the mean of its divisors is an integer number (61312321).

Almost surely, 2^122624641 is an apocalyptic number.

It is an amenable number.

122624641 is a deficient number, since it is larger than the sum of its proper divisors (1).

122624641 is an equidigital number, since it uses as much as digits as its factorization.

122624641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4608, while the sum is 28.

The square root of 122624641 is about 11073.6010854645. The cubic root of 122624641 is about 496.8125785329.

The spelling of 122624641 in words is "one hundred twenty-two million, six hundred twenty-four thousand, six hundred forty-one".