12700800 has 360 divisors, whose sum is σ = 54520785. Its totient is φ = 2903040.

The previous prime is 12700799. The next prime is 12700817. The reversal of 12700800 is 800721.

12700800 = 21³ + 22³ + ... + 84³.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 12446784 + 254016 = 3528^2 + 504^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2520.

It is a super-2 number, since 2×12700800² = 322620641280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1814397 + ... + 1814403.

Almost surely, 2^12700800 is an apocalyptic number.

12700800 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 12700800

12700800 is an abundant number, since it is smaller than the sum of its proper divisors (41819985).

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

12700800 is an equidigital number, since it uses as much as digits as its factorization.

12700800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 12700800 is about 3563.8181771802. The cubic root of 12700800 is about 233.3155542009.

Multiplying 12700800 by its sum of digits (18), we get a square (228614400 = 15120²).

12700800 divided by its sum of digits (18) gives a square (705600 = 840²).

The spelling of 12700800 in words is "twelve million, seven hundred thousand, eight hundred".