12282648000 has 448 divisors, whose sum is σ = 46833666048. Its totient is φ = 2778316800.

The previous prime is 12282647977. The next prime is 12282648017. The reversal of 12282648000 is 84628221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18983677 + ... + 18984323.

Almost surely, 2^12282648000 is an apocalyptic number.

12282648000 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 12282648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23416833024).

12282648000 is an abundant number, since it is smaller than the sum of its proper divisors (34551018048).

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

12282648000 is a wasteful number, since it uses less digits than its factorization.

12282648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The spelling of 12282648000 in words is "twelve billion, two hundred eighty-two million, six hundred forty-eight thousand".