12648300 has 144 divisors (see below), whose sum is σ = 44163840. Its totient is φ = 2730240.

The previous prime is 12648299. The next prime is 12648329. The reversal of 12648300 is 384621.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39742 + ... + 40058.

Almost surely, 2^12648300 is an apocalyptic number.

12648300 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 12648300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22081920).

12648300 is an abundant number, since it is smaller than the sum of its proper divisors (31515540).

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

12648300 is a wasteful number, since it uses less digits than its factorization.

12648300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 12648300 is about 3556.4448540642. Note that the first 3 decimals coincide. The cubic root of 12648300 is about 232.9936326675.

The spelling of 12648300 in words is "twelve million, six hundred forty-eight thousand, three hundred".