122724667 has 16 divisors (see below), whose sum is σ = 140384160. Its totient is φ = 106348032.

The previous prime is 122724653. The next prime is 122724703. The reversal of 122724667 is 766427221.

It is a cyclic number.

It is not a de Polignac number, because 122724667 - 2¹¹ = 122722619 is a prime.

It is a super-2 number, since 2×122724667² = 30122687780521778, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122704667) 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 in 15 ways as a sum of consecutive naturals, for example, 25713 + ... + 30109.

It is an arithmetic number, because the mean of its divisors is an integer number (8774010).

Almost surely, 2^122724667 is an apocalyptic number.

122724667 is a deficient number, since it is larger than the sum of its proper divisors (17659493).

122724667 is a wasteful number, since it uses less digits than its factorization.

122724667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4542.

The product of its digits is 56448, while the sum is 37.

The square root of 122724667 is about 11078.1165818022. The cubic root of 122724667 is about 496.9476266187.

The spelling of 122724667 in words is "one hundred twenty-two million, seven hundred twenty-four thousand, six hundred sixty-seven".