122305305 has 32 divisors (see below), whose sum is σ = 199987200. Its totient is φ = 63809280.

The previous prime is 122305297. The next prime is 122305321. The reversal of 122305305 is 503503221.

It is not a de Polignac number, because 122305305 - 2³ = 122305297 is a prime.

It is a super-2 number, since 2×122305305² = 29917175262286050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319144 + ... + 319526.

It is an arithmetic number, because the mean of its divisors is an integer number (6249600).

Almost surely, 2^122305305 is an apocalyptic number.

122305305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122305305 is a deficient number, since it is larger than the sum of its proper divisors (77681895).

122305305 is a wasteful number, since it uses less digits than its factorization.

122305305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801.

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 122305305 is about 11059.1728895067. The cubic root of 122305305 is about 496.3809413637.

Adding to 122305305 its reverse (503503221), we get a palindrome (625808526).

The spelling of 122305305 in words is "one hundred twenty-two million, three hundred five thousand, three hundred five".