12180497755776 has 384 divisors, whose sum is σ = 38116399910400. Its totient is φ = 3375972200448.

The previous prime is 12180497755771. The next prime is 12180497755801. The reversal of 12180497755776 is 67755779408121.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 12180497755776.

It is not an unprimeable number, because it can be changed into a prime (12180497755771) 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, 1276910815 + ... + 1276920353.

It is an arithmetic number, because the mean of its divisors is an integer number (99261458100).

Almost surely, 2^{12180497755776} is an apocalyptic number.

12180497755776 is a gapful number since it is divisible by the number (16) 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 12180497755776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19058199955200).

12180497755776 is an abundant number, since it is smaller than the sum of its proper divisors (25935902154624).

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

12180497755776 is an equidigital number, since it uses as much as digits as its factorization.

12180497755776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9984 (or 9935 counting only the distinct ones).

The product of its (nonzero) digits is 207446400, while the sum is 69.

The spelling of 12180497755776 in words is "twelve trillion, one hundred eighty billion, four hundred ninety-seven million, seven hundred fifty-five thousand, seven hundred seventy-six".