12681800 has 24 divisors (see below), whose sum is σ = 29485650. Its totient is φ = 5072640.

The previous prime is 12681793. The next prime is 12681817. The reversal of 12681800 is 818621.

It can be written as a sum of positive squares in 3 ways, for example, as 6220036 + 6461764 = 2494^2 + 2542^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12681800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 31505 + ... + 31904.

Almost surely, 2^12681800 is an apocalyptic number.

12681800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12681800 is an abundant number, since it is smaller than the sum of its proper divisors (16803850).

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

12681800 is a wasteful number, since it uses less digits than its factorization.

12681800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63425 (or 63416 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 12681800 is about 3561.1514991643. The cubic root of 12681800 is about 233.1991518769.

The spelling of 12681800 in words is "twelve million, six hundred eighty-one thousand, eight hundred".