12319678800 has 600 divisors, whose sum is σ = 51963653280. Its totient is φ = 2755814400.

The previous prime is 12319678799. The next prime is 12319678817. The reversal of 12319678800 is 887691321.

12319678800 is digitally balanced in base 2, because in such base 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 (600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 4631871 + ... + 4634529.

Almost surely, 2^12319678800 is an apocalyptic number.

12319678800 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 12319678800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25981826640).

12319678800 is an abundant number, since it is smaller than the sum of its proper divisors (39643974480).

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

12319678800 is a wasteful number, since it uses less digits than its factorization.

12319678800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2713 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 12319678800 in words is "twelve billion, three hundred nineteen million, six hundred seventy-eight thousand, eight hundred".