12851280 has 120 divisors (see below), whose sum is σ = 46512648. Its totient is φ = 3161088.

The previous prime is 12851261. The next prime is 12851309. The reversal of 12851280 is 8215821.

It can be written as a sum of positive squares in 4 ways, for example, as 2585664 + 10265616 = 1608^2 + 3204^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8674 + ... + 10046.

Almost surely, 2^12851280 is an apocalyptic number.

12851280 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 12851280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23256324).

12851280 is an abundant number, since it is smaller than the sum of its proper divisors (33661368).

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

12851280 is a wasteful number, since it uses less digits than its factorization.

12851280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 12851280 is about 3584.8681984140. The cubic root of 12851280 is about 234.2333853838.

It can be divided in two parts, 12851 and 280, that added together give a palindrome (13131).

The spelling of 12851280 in words is "twelve million, eight hundred fifty-one thousand, two hundred eighty".