12082800 has 60 divisors (see below), whose sum is σ = 38709080. Its totient is φ = 3221760.

The previous prime is 12082799. The next prime is 12082817. The reversal of 12082800 is 828021.

Added to its reverse (828021) it gives a triangular number (12910821 = T₅₀₈₁).

12082800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3835 + ... + 6234.

Almost surely, 2^12082800 is an apocalyptic number.

12082800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12082800 is an abundant number, since it is smaller than the sum of its proper divisors (26626280).

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

12082800 is a wasteful number, since it uses less digits than its factorization.

12082800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10090 (or 10079 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 12082800 is about 3476.0322207943. The cubic root of 12082800 is about 229.4682105759.

Adding to 12082800 its reverse (828021), we get a triangular number (12910821 = T₅₀₈₁).

The spelling of 12082800 in words is "twelve million, eighty-two thousand, eight hundred".