12738648000 has 224 divisors, whose sum is σ = 45299741760. Its totient is φ = 3135590400.

The previous prime is 12738647969. The next prime is 12738648001. The reversal of 12738648000 is 84683721.

12738648000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 12738648000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12738648001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 291586 + ... + 332414.

It is an arithmetic number, because the mean of its divisors is an integer number (202230990).

Almost surely, 2^12738648000 is an apocalyptic number.

12738648000 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 12738648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22649870880).

12738648000 is an abundant number, since it is smaller than the sum of its proper divisors (32561093760).

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

12738648000 is a wasteful number, since it uses less digits than its factorization.

12738648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40872 (or 40852 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 12738648000 in words is "twelve billion, seven hundred thirty-eight million, six hundred forty-eight thousand".