12788520 has 128 divisors (see below), whose sum is σ = 41472000. Its totient is φ = 3144960.

The previous prime is 12788513. The next prime is 12788527. The reversal of 12788520 is 2588721.

It is an interprime number because it is at equal distance from previous prime (12788513) and next prime (12788527).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12788527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161841 + ... + 161919.

It is an arithmetic number, because the mean of its divisors is an integer number (324000).

Almost surely, 2^12788520 is an apocalyptic number.

12788520 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 12788520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20736000).

12788520 is an abundant number, since it is smaller than the sum of its proper divisors (28683480).

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

12788520 is a wasteful number, since it uses less digits than its factorization.

12788520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 12788520 is about 3576.1040253326. The cubic root of 12788520 is about 233.8514653821.

The spelling of 12788520 in words is "twelve million, seven hundred eighty-eight thousand, five hundred twenty".