12801800 has 108 divisors (see below), whose sum is σ = 34200285. Its totient is φ = 4452800.

The previous prime is 12801793. The next prime is 12801809. The reversal of 12801800 is 810821.

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 12545764 + 256036 = 3542^2 + 506^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2530.

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

It is not an unprimeable number, because it can be changed into a prime (12801809) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 556589 + ... + 556611.

Almost surely, 2^12801800 is an apocalyptic number.

12801800 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 12801800

12801800 is an abundant number, since it is smaller than the sum of its proper divisors (21398485).

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

12801800 is a wasteful number, since it uses less digits than its factorization.

12801800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 12801800 is about 3577.9603128039. The cubic root of 12801800 is about 233.9323836096.

Multiplying 12801800 by its product of nonzero digits (128), we get a square (1638630400 = 40480²).

The spelling of 12801800 in words is "twelve million, eight hundred one thousand, eight hundred".