122566345 has 36 divisors (see below), whose sum is σ = 171980172. Its totient is φ = 83776000.

The previous prime is 122566331. The next prime is 122566361. The reversal of 122566345 is 543665221.

It can be written as a sum of positive squares in 6 ways, for example, as 21040569 + 101525776 = 4587^2 + 10076^2 .

It is not a de Polignac number, because 122566345 - 2²⁵ = 89011913 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122566345.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 174495 + ... + 175195.

It is an arithmetic number, because the mean of its divisors is an integer number (4777227).

Almost surely, 2^122566345 is an apocalyptic number.

It is an amenable number.

122566345 is a deficient number, since it is larger than the sum of its proper divisors (49413827).

122566345 is a wasteful number, since it uses less digits than its factorization.

122566345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 734 counting only the distinct ones).

The product of its digits is 43200, while the sum is 34.

The square root of 122566345 is about 11070.9685664805. The cubic root of 122566345 is about 496.7338374887.

The spelling of 122566345 in words is "one hundred twenty-two million, five hundred sixty-six thousand, three hundred forty-five".