122304 has 84 divisors (see below), whose sum is σ = 405384. Its totient is φ = 32256.

The previous prime is 122299. The next prime is 122321. The reversal of 122304 is 403221.

122304 = T₂₇ + T₂₈ + ... + T₉₀.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 122304.

It is a congruent number.

It is an unprimeable number.

122304 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, 9402 + ... + 9414.

It is an arithmetic number, because the mean of its divisors is an integer number (4826).

2¹²²³⁰⁴ is an apocalyptic number.

122304 is a gapful number since it is divisible by the number (14) 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 122304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202692).

122304 is an abundant number, since it is smaller than the sum of its proper divisors (283080).

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

122304 is a wasteful number, since it uses less digits than its factorization.

122304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 122304 is about 349.7198879103. The cubic root of 122304 is about 49.6379175893.

Adding to 122304 its reverse (403221), we get a palindrome (525525).

The spelling of 122304 in words is "one hundred twenty-two thousand, three hundred four", and thus it is an iban number.