12848800 has 36 divisors (see below), whose sum is σ = 31369086. Its totient is φ = 5139200.

The previous prime is 12848777. The next prime is 12848809. The reversal of 12848800 is 884821.

It can be written as a sum of positive squares in 3 ways, for example, as 5253264 + 7595536 = 2292^2 + 2756^2 .

It is a super-2 number, since 2×12848800² = 330183322880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12848809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7231 + ... + 8830.

Almost surely, 2^12848800 is an apocalyptic number.

12848800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12848800 is an abundant number, since it is smaller than the sum of its proper divisors (18520286).

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

12848800 is a wasteful number, since it uses less digits than its factorization.

12848800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16081 (or 16068 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 12848800 is about 3584.5222833733. The cubic root of 12848800 is about 234.2183172047.

The spelling of 12848800 in words is "twelve million, eight hundred forty-eight thousand, eight hundred".