12628200 has 96 divisors (see below), whose sum is σ = 42184800. Its totient is φ = 3106560.

The previous prime is 12628199. The next prime is 12628207. The reversal of 12628200 is 282621.

Added to its reverse (282621) it gives a triangular number (12910821 = T₅₀₈₁).

It is not an unprimeable number, because it can be changed into a prime (12628207) 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, 6991 + ... + 8609.

It is an arithmetic number, because the mean of its divisors is an integer number (439425).

Almost surely, 2^12628200 is an apocalyptic number.

12628200 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 12628200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21092400).

12628200 is an abundant number, since it is smaller than the sum of its proper divisors (29556600).

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

12628200 is a wasteful number, since it uses less digits than its factorization.

12628200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 12628200 is about 3553.6178747862. The cubic root of 12628200 is about 232.8701469037.

Adding to 12628200 its reverse (282621), we get a triangular number (12910821 = T₅₀₈₁).

The spelling of 12628200 in words is "twelve million, six hundred twenty-eight thousand, two hundred".