122538 has 16 divisors (see below), whose sum is σ = 264096. Its totient is φ = 37680.

The previous prime is 122533. The next prime is 122557. The reversal of 122538 is 835221.

It is a super-2 number, since 2×122538² = 30031122888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122533) by changing a digit.

122538 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 708 + ... + 863.

It is an arithmetic number, because the mean of its divisors is an integer number (16506).

2¹²²⁵³⁸ is an apocalyptic number.

122538 is an abundant number, since it is smaller than the sum of its proper divisors (141558).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122538 is a wasteful number, since it uses less digits than its factorization.

122538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589.

The product of its digits is 480, while the sum is 21.

The square root of 122538 is about 350.0542815050. The cubic root of 122538 is about 49.6695542566.

Adding to 122538 its reverse (835221), we get a palindrome (957759).

The spelling of 122538 in words is "one hundred twenty-two thousand, five hundred thirty-eight".