122125305 has 32 divisors (see below), whose sum is σ = 198374400. Its totient is φ = 64152000.

The previous prime is 122125301. The next prime is 122125307. The reversal of 122125305 is 503521221.

It is not a de Polignac number, because 122125305 - 2² = 122125301 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122125301) 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 31 ways as a sum of consecutive naturals, for example, 486430 + ... + 486680.

It is an arithmetic number, because the mean of its divisors is an integer number (6199200).

Almost surely, 2^122125305 is an apocalyptic number.

122125305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122125305 is a deficient number, since it is larger than the sum of its proper divisors (76249095).

122125305 is a wasteful number, since it uses less digits than its factorization.

122125305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 122125305 is about 11051.0318522752. The cubic root of 122125305 is about 496.1373094200.

Adding to 122125305 its reverse (503521221), we get a palindrome (625646526).

The spelling of 122125305 in words is "one hundred twenty-two million, one hundred twenty-five thousand, three hundred five".