12888720 has 280 divisors, whose sum is σ = 51231096. Its totient is φ = 2985984.

The previous prime is 12888709. The next prime is 12888721. The reversal of 12888720 is 2788821.

It can be written as a sum of positive squares in 4 ways, for example, as 944784 + 11943936 = 972^2 + 3456^2 .

It is a super-2 number, since 2×12888720² = 332238206476800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12888721) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 758152 + ... + 758168.

Almost surely, 2^12888720 is an apocalyptic number.

12888720 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 12888720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25615548).

12888720 is an abundant number, since it is smaller than the sum of its proper divisors (38342376).

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

12888720 is a wasteful number, since it uses less digits than its factorization.

12888720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 12888720 is about 3590.0863499364. The cubic root of 12888720 is about 234.4606311101.

The spelling of 12888720 in words is "twelve million, eight hundred eighty-eight thousand, seven hundred twenty".