122004 has 18 divisors (see below), whose sum is σ = 308490. Its totient is φ = 40656.

The previous prime is 121997. The next prime is 122011. The reversal of 122004 is 400221.

It is an interprime number because it is at equal distance from previous prime (121997) and next prime (122011).

It can be written as a sum of positive squares in only one way, i.e., 121104 + 900 = 348^2 + 30^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

122004 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 5 ways as a sum of consecutive naturals, for example, 1659 + ... + 1730.

2¹²²⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

122004 is an abundant number, since it is smaller than the sum of its proper divisors (186486).

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

122004 is a wasteful number, since it uses less digits than its factorization.

122004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3399 (or 3394 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 122004 is about 349.2907098679. The cubic root of 122004 is about 49.5972986736.

Adding to 122004 its reverse (400221), we get a palindrome (522225).

It can be divided in two parts, 12 and 2004, that added together give a triangular number (2016 = T₆₃).

The spelling of 122004 in words is "one hundred twenty-two thousand, four", and thus it is an iban number.