12870200 has 96 divisors (see below), whose sum is σ = 35488800. Its totient is φ = 4247040.

The previous prime is 12870199. The next prime is 12870203. The reversal of 12870200 is 207821.

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 (12870203) 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, 40442 + ... + 40758.

It is an arithmetic number, because the mean of its divisors is an integer number (369675).

Almost surely, 2^12870200 is an apocalyptic number.

12870200 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 12870200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17744400).

12870200 is an abundant number, since it is smaller than the sum of its proper divisors (22618600).

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

12870200 is a wasteful number, since it uses less digits than its factorization.

12870200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 12870200 is about 3587.5060975558. The cubic root of 12870200 is about 234.3482772496.

The spelling of 12870200 in words is "twelve million, eight hundred seventy thousand, two hundred".