12892800000 has 528 divisors, whose sum is σ = 46054552320. Its totient is φ = 3194880000.

The previous prime is 12892799993. The next prime is 12892800013. The reversal of 12892800000 is 829821.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163199961 + ... + 163200039.

Almost surely, 2^12892800000 is an apocalyptic number.

12892800000 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 12892800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23027276160).

12892800000 is an abundant number, since it is smaller than the sum of its proper divisors (33161752320).

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

12892800000 is an frugal number, since it uses more digits than its factorization.

12892800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The spelling of 12892800000 in words is "twelve billion, eight hundred ninety-two million, eight hundred thousand".