122605407 has 20 divisors (see below), whose sum is σ = 183934520. Its totient is φ = 81723816.

The previous prime is 122605397. The next prime is 122605429. The reversal of 122605407 is 704506221.

122605407 is a `hidden beast` number, since 12 + 2 + 605 + 40 + 7 = 666.

It is not a de Polignac number, because 122605407 - 2⁴ = 122605391 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122605447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16569 + ... + 22797.

It is an arithmetic number, because the mean of its divisors is an integer number (9196726).

Almost surely, 2^122605407 is an apocalyptic number.

122605407 is a deficient number, since it is larger than the sum of its proper divisors (61329113).

122605407 is an frugal number, since it uses more digits than its factorization.

122605407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6256 (or 6232 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 122605407 is about 11072.7325895643. The cubic root of 122605407 is about 496.7866017181.

The spelling of 122605407 in words is "one hundred twenty-two million, six hundred five thousand, four hundred seven".