12768912000 has 768 divisors, whose sum is σ = 52127712000. Its totient is φ = 2969395200.

The previous prime is 12768911999. The next prime is 12768912029. The reversal of 12768912000 is 21986721.

It is a super-2 number, since 2×12768912000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 35567821 + ... + 35568179.

It is an arithmetic number, because the mean of its divisors is an integer number (67874625).

Almost surely, 2^12768912000 is an apocalyptic number.

12768912000 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 12768912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26063856000).

12768912000 is an abundant number, since it is smaller than the sum of its proper divisors (39358800000).

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

12768912000 is a wasteful number, since it uses less digits than its factorization.

12768912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 12768912000 in words is "twelve billion, seven hundred sixty-eight million, nine hundred twelve thousand".