12788020 has 36 divisors (see below), whose sum is σ = 31241700. Its totient is φ = 4384128.

The previous prime is 12788003. The next prime is 12788021. The reversal of 12788020 is 2088721.

It can be written as a sum of positive squares in 2 ways, for example, as 5934096 + 6853924 = 2436^2 + 2618^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 12788020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12788021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5545 + ... + 7504.

It is an arithmetic number, because the mean of its divisors is an integer number (867825).

Almost surely, 2^12788020 is an apocalyptic number.

12788020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12788020 is an abundant number, since it is smaller than the sum of its proper divisors (18453680).

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

12788020 is a wasteful number, since it uses less digits than its factorization.

12788020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13072 (or 13063 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 12788020 is about 3576.0341161684. The cubic root of 12788020 is about 233.8484176680.

The spelling of 12788020 in words is "twelve million, seven hundred eighty-eight thousand, twenty".