12820000 has 60 divisors (see below), whose sum is σ = 31588326. Its totient is φ = 5120000.

The previous prime is 12819971. The next prime is 12820009. The reversal of 12820000 is 2821.

It can be written as a sum of positive squares in 5 ways, for example, as 1449616 + 11370384 = 1204^2 + 3372^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12820009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19680 + ... + 20320.

Almost surely, 2^12820000 is an apocalyptic number.

12820000 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 12820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15794163).

12820000 is an abundant number, since it is smaller than the sum of its proper divisors (18768326).

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

12820000 is an frugal number, since it uses more digits than its factorization.

12820000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 12820000 is about 3580.5027579936. The cubic root of 12820000 is about 234.0431897292.

Adding to 12820000 its reverse (2821), we get a palindrome (12822821).

It can be divided in two parts, 128 and 20000, that multiplied together give a 4-th power (2560000 = 40⁴).

The spelling of 12820000 in words is "twelve million, eight hundred twenty thousand".