12128004 has 144 divisors (see below), whose sum is σ = 39312000. Its totient is φ = 3068928.

The previous prime is 12127993. The next prime is 12128009. The reversal of 12128004 is 40082121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12128009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81322 + ... + 81470.

It is an arithmetic number, because the mean of its divisors is an integer number (273000).

Almost surely, 2^12128004 is an apocalyptic number.

12128004 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 12128004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19656000).

12128004 is an abundant number, since it is smaller than the sum of its proper divisors (27183996).

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

12128004 is a wasteful number, since it uses less digits than its factorization.

12128004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 12128004 is about 3482.5283918441. The cubic root of 12128004 is about 229.7540155269.

It can be divided in two parts, 1212 and 8004, that added together give a square (9216 = 96²).

The spelling of 12128004 in words is "twelve million, one hundred twenty-eight thousand, four".