205122125 has 16 divisors (see below), whose sum is σ = 275686320. Its totient is φ = 151473600.

The previous prime is 205122107. The next prime is 205122143. The reversal of 205122125 is 521221502.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (205122107) and next prime (205122143).

It can be written as a sum of positive squares in 8 ways, for example, as 145106116 + 60016009 = 12046^2 + 7747^2 .

It is not a de Polignac number, because 205122125 - 2⁶ = 205122061 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205122097 and 205122106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61490 + ... + 64739.

It is an arithmetic number, because the mean of its divisors is an integer number (17230395).

Almost surely, 2^205122125 is an apocalyptic number.

205122125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205122125 is a deficient number, since it is larger than the sum of its proper divisors (70564195).

205122125 is a wasteful number, since it uses less digits than its factorization.

205122125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126257 (or 126247 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 205122125 is about 14322.0852182914. The cubic root of 205122125 is about 589.7539192102.

Adding to 205122125 its reverse (521221502), we get a palindrome (726343627).

The spelling of 205122125 in words is "two hundred five million, one hundred twenty-two thousand, one hundred twenty-five".