12978329600 has 288 divisors, whose sum is σ = 34220309760. Its totient is φ = 4871454720.

The previous prime is 12978329597. The next prime is 12978329627. The reversal of 12978329600 is 692387921.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121292747 + ... + 121292853.

It is an arithmetic number, because the mean of its divisors is an integer number (118820520).

Almost surely, 2^12978329600 is an apocalyptic number.

12978329600 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 12978329600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17110154880).

12978329600 is an abundant number, since it is smaller than the sum of its proper divisors (21241980160).

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

12978329600 is a wasteful number, since it uses less digits than its factorization.

12978329600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 47.

The spelling of 12978329600 in words is "twelve billion, nine hundred seventy-eight million, three hundred twenty-nine thousand, six hundred".