12871200 has 144 divisors (see below), whose sum is σ = 43497216. Its totient is φ = 3302400.

The previous prime is 12871181. The next prime is 12871207. The reversal of 12871200 is 217821.

12871200 = T₂₉₆ + T₂₉₇ + ... + T₄₆₈.

It is not an unprimeable number, because it can be changed into a prime (12871207) 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, 74314 + ... + 74486.

It is an arithmetic number, because the mean of its divisors is an integer number (302064).

Almost surely, 2^12871200 is an apocalyptic number.

12871200 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 12871200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21748608).

12871200 is an abundant number, since it is smaller than the sum of its proper divisors (30626016).

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

12871200 is a wasteful number, since it uses less digits than its factorization.

12871200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 12871200 is about 3587.6454674340. The cubic root of 12871200 is about 234.3543466245.

The spelling of 12871200 in words is "twelve million, eight hundred seventy-one thousand, two hundred".