12720800 has 36 divisors (see below), whose sum is σ = 31056606. Its totient is φ = 5088000.

The previous prime is 12720793. The next prime is 12720839. The reversal of 12720800 is 802721.

It can be written as a sum of positive squares in 3 ways, for example, as 12306064 + 414736 = 3508^2 + 644^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7151 + ... + 8750.

Almost surely, 2^12720800 is an apocalyptic number.

12720800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12720800 is an abundant number, since it is smaller than the sum of its proper divisors (18335806).

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

12720800 is a wasteful number, since it uses less digits than its factorization.

12720800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15921 (or 15908 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 12720800 is about 3566.6230526928. The cubic root of 12720800 is about 233.4379576157.

The spelling of 12720800 in words is "twelve million, seven hundred twenty thousand, eight hundred".