122508 has 36 divisors (see below), whose sum is σ = 321048. Its totient is φ = 39360.

The previous prime is 122503. The next prime is 122509. The reversal of 122508 is 805221.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (122501) by changing a digit.

122508 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1435 + ... + 1517.

It is an arithmetic number, because the mean of its divisors is an integer number (8918).

2¹²²⁵⁰⁸ is an apocalyptic number.

122508 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160524).

122508 is an abundant number, since it is smaller than the sum of its proper divisors (198540).

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

122508 is a wasteful number, since it uses less digits than its factorization.

122508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 122508 is about 350.0114283848. The cubic root of 122508 is about 49.6655005256.

Adding to 122508 its reverse (805221), we get a palindrome (927729).

It can be divided in two parts, 122 and 508, that added together give a triangular number (630 = T₃₅).

The spelling of 122508 in words is "one hundred twenty-two thousand, five hundred eight".