12849281824000 has 144 divisors (see below), whose sum is σ = 32020424916480. Its totient is φ = 5137905100800.

The previous prime is 12849281823997. The next prime is 12849281824061. The reversal of 12849281824000 is 42818294821.

It is a happy number.

12849281824000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92826841 + ... + 92965159.

It is an arithmetic number, because the mean of its divisors is an integer number (222364061920).

Almost surely, 2^{12849281824000} is an apocalyptic number.

12849281824000 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 12849281824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16010212458240).

12849281824000 is an abundant number, since it is smaller than the sum of its proper divisors (19171143092480).

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

12849281824000 is an equidigital number, since it uses as much as digits as its factorization.

12849281824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141253 (or 141229 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 49.

The spelling of 12849281824000 in words is "twelve trillion, eight hundred forty-nine billion, two hundred eighty-one million, eight hundred twenty-four thousand".