12819200000 has 144 divisors (see below), whose sum is σ = 32054120280. Its totient is φ = 5125120000.

The previous prime is 12819199973. The next prime is 12819200057. The reversal of 12819200000 is 291821.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6398999 + ... + 6401001.

Almost surely, 2^12819200000 is an apocalyptic number.

12819200000 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 12819200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16027060140).

12819200000 is an abundant number, since it is smaller than the sum of its proper divisors (19234920280).

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

12819200000 is an frugal number, since it uses more digits than its factorization.

12819200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2050 (or 2010 counting only the distinct ones).

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

Adding to 12819200000 its reverse (291821), we get a palindrome (12819491821).

The spelling of 12819200000 in words is "twelve billion, eight hundred nineteen million, two hundred thousand".