12556881120 has 288 divisors, whose sum is σ = 48435408000. Its totient is φ = 2718987264.

The previous prime is 12556881109. The next prime is 12556881121. The reversal of 12556881120 is 2118865521.

12556881120 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 not an unprimeable number, because it can be changed into a prime (12556881121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 432831 + ... + 460929.

It is an arithmetic number, because the mean of its divisors is an integer number (168178500).

Almost surely, 2^12556881120 is an apocalyptic number.

12556881120 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 12556881120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24217704000).

12556881120 is an abundant number, since it is smaller than the sum of its proper divisors (35878526880).

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

12556881120 is a wasteful number, since it uses less digits than its factorization.

12556881120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28150 (or 28135 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 39.

The spelling of 12556881120 in words is "twelve billion, five hundred fifty-six million, eight hundred eighty-one thousand, one hundred twenty".