121104 has 45 divisors (see below), whose sum is σ = 351013. Its totient is φ = 38976.

The previous prime is 121081. The next prime is 121123. The reversal of 121104 is 401121.

121104 = T₃₄₇ + T₃₄₈.

It is a happy number.

The square root of 121104 is 348.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 63504 + 57600 = 252^2 + 240^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4162 + ... + 4190.

2¹²¹¹⁰⁴ is an apocalyptic number.

121104 is the 348-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121104

121104 is an abundant number, since it is smaller than the sum of its proper divisors (229909).

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

121104 is a wasteful number, since it uses less digits than its factorization.

121104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The cubic root of 121104 is about 49.4750409832.

Adding to 121104 its reverse (401121), we get a palindrome (522225).

It can be divided in two parts, 121 and 104, that added together give a square (225 = 15²).

The spelling of 121104 in words is "one hundred twenty-one thousand, one hundred four", and thus it is an iban number.