12128600 has 96 divisors (see below), whose sum is σ = 31806000. Its totient is φ = 4262400.

The previous prime is 12128591. The next prime is 12128603. The reversal of 12128600 is 682121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12128603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81326 + ... + 81474.

Almost surely, 2^12128600 is an apocalyptic number.

12128600 is a gapful number since it is divisible by the number (10) 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 12128600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15903000).

12128600 is an abundant number, since it is smaller than the sum of its proper divisors (19677400).

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

12128600 is a wasteful number, since it uses less digits than its factorization.

12128600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 12128600 is about 3482.6139608059. The cubic root of 12128600 is about 229.7577790247.

The spelling of 12128600 in words is "twelve million, one hundred twenty-eight thousand, six hundred".