12912800000 has 108 divisors (see below), whose sum is σ = 32218883172. Its totient is φ = 5164800000.

The previous prime is 12912799993. The next prime is 12912800009. The reversal of 12912800000 is 821921.

It can be written as a sum of positive squares in 6 ways, for example, as 11097358336 + 1815441664 = 105344^2 + 42608^2 .

It is not an unprimeable number, because it can be changed into a prime (12912800009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 791930 + ... + 808070.

Almost surely, 2^12912800000 is an apocalyptic number.

12912800000 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 12912800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16109441586).

12912800000 is an abundant number, since it is smaller than the sum of its proper divisors (19306083172).

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

12912800000 is an frugal number, since it uses more digits than its factorization.

12912800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16182 (or 16148 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 12912800000 in words is "twelve billion, nine hundred twelve million, eight hundred thousand".