12355104 has 96 divisors (see below), whose sum is σ = 34461504. Its totient is φ = 3870720.

The previous prime is 12355103. The next prime is 12355127. The reversal of 12355104 is 40155321.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (12355103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169212 + ... + 169284.

It is an arithmetic number, because the mean of its divisors is an integer number (358974).

Almost surely, 2^12355104 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 12355104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17230752).

12355104 is an abundant number, since it is smaller than the sum of its proper divisors (22106400).

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

12355104 is a wasteful number, since it uses less digits than its factorization.

12355104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 12355104 is about 3514.9827880091. The cubic root of 12355104 is about 231.1792241162.

The spelling of 12355104 in words is "twelve million, three hundred fifty-five thousand, one hundred four".