12978048096 has 480 divisors, whose sum is σ = 43107150240. Its totient is φ = 3826787328.

The previous prime is 12978048077. The next prime is 12978048131. The reversal of 12978048096 is 69084087921.

12978048096 is a `hidden beast` number, since 1 + 2 + 9 + 78 + 0 + 480 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 244868806 + ... + 244868858.

It is an arithmetic number, because the mean of its divisors is an integer number (89806563).

Almost surely, 2^12978048096 is an apocalyptic number.

12978048096 is a gapful number since it is divisible by the number (16) 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 12978048096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21553575120).

12978048096 is an abundant number, since it is smaller than the sum of its proper divisors (30129102144).

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

12978048096 is an equidigital number, since it uses as much as digits as its factorization.

12978048096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 12978048096 in words is "twelve billion, nine hundred seventy-eight million, forty-eight thousand, ninety-six".