12841200 has 240 divisors, whose sum is σ = 48434400. Its totient is φ = 3225600.

The previous prime is 12841193. The next prime is 12841201. The reversal of 12841200 is 214821.

12841200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12841201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 313180 + ... + 313220.

It is an arithmetic number, because the mean of its divisors is an integer number (201810).

Almost surely, 2^12841200 is an apocalyptic number.

12841200 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 12841200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24217200).

12841200 is an abundant number, since it is smaller than the sum of its proper divisors (35593200).

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

12841200 is a wasteful number, since it uses less digits than its factorization.

12841200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 12841200 is about 3583.4620131934. The cubic root of 12841200 is about 234.1721284480.

It can be divided in two parts, 12841 and 200, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 12841200 in words is "twelve million, eight hundred forty-one thousand, two hundred".