12300800 has 90 divisors (see below), whose sum is σ = 31491009. Its totient is φ = 4761600.

The previous prime is 12300767. The next prime is 12300817. The reversal of 12300800 is 800321.

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 12054784 + 246016 = 3472^2 + 496^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2480.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 396785 + ... + 396815.

Almost surely, 2^12300800 is an apocalyptic number.

12300800 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 12300800

12300800 is an abundant number, since it is smaller than the sum of its proper divisors (19190209).

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

12300800 is an frugal number, since it uses more digits than its factorization.

12300800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 12300800 is about 3507.2496346853. The cubic root of 12300800 is about 230.8400284202.

The spelling of 12300800 in words is "twelve million, three hundred thousand, eight hundred".