12821868 has 48 divisors (see below), whose sum is σ = 33452160. Its totient is φ = 4246992.

The previous prime is 12821843. The next prime is 12821891. The reversal of 12821868 is 86812821.

12821868 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24255 + ... + 24777.

It is an arithmetic number, because the mean of its divisors is an integer number (696920).

Almost surely, 2^12821868 is an apocalyptic number.

12821868 is a gapful number since it is divisible by the number (18) 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 12821868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16726080).

12821868 is an abundant number, since it is smaller than the sum of its proper divisors (20630292).

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

12821868 is a wasteful number, since it uses less digits than its factorization.

12821868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 755 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 12821868 is about 3580.7636057132. The cubic root of 12821868 is about 234.0545566415.

It can be divided in two parts, 12821 and 868, that added together give a square (13689 = 117²).

The spelling of 12821868 in words is "twelve million, eight hundred twenty-one thousand, eight hundred sixty-eight".