12004928 has 56 divisors (see below), whose sum is σ = 26285952. Its totient is φ = 5405184.

The previous prime is 12004921. The next prime is 12004957. The reversal of 12004928 is 82940021.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 12004897 and 12004906.

It is not an unprimeable number, because it can be changed into a prime (12004921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38951 + ... + 39257.

It is an arithmetic number, because the mean of its divisors is an integer number (469392).

Almost surely, 2^12004928 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 12004928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13142976).

12004928 is an abundant number, since it is smaller than the sum of its proper divisors (14281024).

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

12004928 is a wasteful number, since it uses less digits than its factorization.

12004928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 12004928 is about 3464.8128376580. The cubic root of 12004928 is about 228.9741839537.

Adding to 12004928 its reverse (82940021), we get a palindrome (94944949).

The spelling of 12004928 in words is "twelve million, four thousand, nine hundred twenty-eight".