12788496000 has 512 divisors, whose sum is σ = 53846208000. Its totient is φ = 2922393600.

The previous prime is 12788495983. The next prime is 12788496011. The reversal of 12788496000 is 69488721.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3021886 + ... + 3026114.

It is an arithmetic number, because the mean of its divisors is an integer number (105168375).

Almost surely, 2^12788496000 is an apocalyptic number.

12788496000 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 12788496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26923104000).

12788496000 is an abundant number, since it is smaller than the sum of its proper divisors (41057712000).

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

12788496000 is an equidigital number, since it uses as much as digits as its factorization.

12788496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4274 (or 4246 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 12788496000 in words is "twelve billion, seven hundred eighty-eight million, four hundred ninety-six thousand".