12671200 has 72 divisors (see below), whose sum is σ = 31685472. Its totient is φ = 4945920.

The previous prime is 12671177. The next prime is 12671201. The reversal of 12671200 is 217621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12671201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37432 + ... + 37768.

It is an arithmetic number, because the mean of its divisors is an integer number (440076).

Almost surely, 2^12671200 is an apocalyptic number.

12671200 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 12671200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15842736).

12671200 is an abundant number, since it is smaller than the sum of its proper divisors (19014272).

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

12671200 is a wasteful number, since it uses less digits than its factorization.

12671200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 12671200 is about 3559.6629053887. The cubic root of 12671200 is about 233.1341611017.

Adding to 12671200 its reverse (217621), we get a palindrome (12888821).

The spelling of 12671200 in words is "twelve million, six hundred seventy-one thousand, two hundred".