12781840442112 has 576 divisors, whose sum is σ = 43474342912000. Its totient is φ = 3628651364352.

The previous prime is 12781840442089. The next prime is 12781840442143. The reversal of 12781840442112 is 21124404818721.

12781840442112 is a `hidden beast` number, since 1 + 27 + 8 + 1 + 8 + 404 + 4 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8944604214 + ... + 8944605642.

Almost surely, 2^{12781840442112} is an apocalyptic number.

12781840442112 is a gapful number since it is divisible by the number (12) 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 12781840442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21737171456000).

12781840442112 is an abundant number, since it is smaller than the sum of its proper divisors (30692502469888).

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

12781840442112 is a wasteful number, since it uses less digits than its factorization.

12781840442112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2513 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 12781840442112 in words is "twelve trillion, seven hundred eighty-one billion, eight hundred forty million, four hundred forty-two thousand, one hundred twelve".