122806593 has 72 divisors (see below), whose sum is σ = 229721856. Its totient is φ = 62596800.

The previous prime is 122806577. The next prime is 122806597. The reversal of 122806593 is 395608221.

It is not a de Polignac number, because 122806593 - 2⁴ = 122806577 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (122806597) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 177378 + ... + 178068.

Almost surely, 2^122806593 is an apocalyptic number.

122806593 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122806593 is a deficient number, since it is larger than the sum of its proper divisors (106915263).

122806593 is a wasteful number, since it uses less digits than its factorization.

122806593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 122806593 is about 11081.8136151083. The cubic root of 122806593 is about 497.0581827011.

The spelling of 122806593 in words is "one hundred twenty-two million, eight hundred six thousand, five hundred ninety-three".