12818720 has 48 divisors (see below), whose sum is σ = 30595320. Its totient is φ = 5074944.

The previous prime is 12818713. The next prime is 12818737. The reversal of 12818720 is 2781821.

It can be written as a sum of positive squares in 4 ways, for example, as 3794704 + 9024016 = 1948^2 + 3004^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17726 + ... + 18434.

Almost surely, 2^12818720 is an apocalyptic number.

12818720 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 12818720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15297660).

12818720 is an abundant number, since it is smaller than the sum of its proper divisors (17776600).

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

12818720 is a wasteful number, since it uses less digits than its factorization.

12818720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 29.

The square root of 12818720 is about 3580.3240076842. The cubic root of 12818720 is about 234.0354002011.

It can be divided in two parts, 1281 and 8720, that added together give a palindrome (10001).

The spelling of 12818720 in words is "twelve million, eight hundred eighteen thousand, seven hundred twenty".