12842891200000 has 480 divisors, whose sum is σ = 32824818202176. Its totient is φ = 5018112000000.

The previous prime is 12842891199889. The next prime is 12842891200001. The reversal of 12842891200000 is 219824821.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12842891200001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17665599637 + ... + 17665600363.

Almost surely, 2^{12842891200000} is an apocalyptic number.

12842891200000 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 12842891200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16412409101088).

12842891200000 is an abundant number, since it is smaller than the sum of its proper divisors (19981927002176).

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

12842891200000 is an frugal number, since it uses more digits than its factorization.

12842891200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The spelling of 12842891200000 in words is "twelve trillion, eight hundred forty-two billion, eight hundred ninety-one million, two hundred thousand".