122408 has 32 divisors (see below), whose sum is σ = 272160. Its totient is φ = 50880.

The previous prime is 122401. The next prime is 122443. The reversal of 122408 is 804221.

It is not an unprimeable number, because it can be changed into a prime (122401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1091 + ... + 1197.

It is an arithmetic number, because the mean of its divisors is an integer number (8505).

2¹²²⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136080).

122408 is an abundant number, since it is smaller than the sum of its proper divisors (149752).

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

122408 is a wasteful number, since it uses less digits than its factorization.

122408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 122408 is about 349.8685467429. The cubic root of 122408 is about 49.6519833077.

Adding to 122408 its reverse (804221), we get a palindrome (926629).

The spelling of 122408 in words is "one hundred twenty-two thousand, four hundred eight".