122125 has 8 divisors (see below), whose sum is σ = 152568. Its totient is φ = 97600.

The previous prime is 122117. The next prime is 122131. The reversal of 122125 is 521221.

It can be written as a sum of positive squares in 4 ways, for example, as 324 + 121801 = 18^2 + 349^2 .

It is not a de Polignac number, because 122125 - 2³ = 122117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 364 + ... + 613.

It is an arithmetic number, because the mean of its divisors is an integer number (19071).

2¹²²¹²⁵ is an apocalyptic number.

It is an amenable number.

122125 is a deficient number, since it is larger than the sum of its proper divisors (30443).

122125 is an frugal number, since it uses more digits than its factorization.

122125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 982 counting only the distinct ones).

The product of its digits is 40, while the sum is 13.

The square root of 122125 is about 349.4638751001. The cubic root of 122125 is about 49.6136896396.

Adding to 122125 its reverse (521221), we get a palindrome (643346).

The spelling of 122125 in words is "one hundred twenty-two thousand, one hundred twenty-five".