12581109216000 has 1728 divisors, whose sum is σ = 53539849673856. Its totient is φ = 2914320384000.

The previous prime is 12581109215947. The next prime is 12581109216043. The reversal of 12581109216000 is 61290118521.

12581109216000 is a `hidden beast` number, since 1 + 2 + 581 + 10 + 9 + 2 + 1 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1718492340 + ... + 1718499660.

It is an arithmetic number, because the mean of its divisors is an integer number (30983709302).

Almost surely, 2^{12581109216000} is an apocalyptic number.

12581109216000 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 12581109216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26769924836928).

12581109216000 is an abundant number, since it is smaller than the sum of its proper divisors (40958740457856).

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

12581109216000 is an equidigital number, since it uses as much as digits as its factorization.

12581109216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7397 (or 7361 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The spelling of 12581109216000 in words is "twelve trillion, five hundred eighty-one billion, one hundred nine million, two hundred sixteen thousand".