122005305 has 32 divisors (see below), whose sum is σ = 223902720. Its totient is φ = 62968320.

The previous prime is 122005297. The next prime is 122005343. The reversal of 122005305 is 503500221.

It is a happy number.

It is not a de Polignac number, because 122005305 - 2³ = 122005297 is a prime.

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, 10392 + ... + 18761.

It is an arithmetic number, because the mean of its divisors is an integer number (6996960).

Almost surely, 2^122005305 is an apocalyptic number.

122005305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122005305 is a deficient number, since it is larger than the sum of its proper divisors (101897415).

122005305 is a wasteful number, since it uses less digits than its factorization.

122005305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29198 (or 29192 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 122005305 is about 11045.6011606431. The cubic root of 122005305 is about 495.9747550995.

Adding to 122005305 its reverse (503500221), we get a palindrome (625505526).

The spelling of 122005305 in words is "one hundred twenty-two million, five thousand, three hundred five".