12167081280000 has 1500 divisors, whose sum is σ = 46925233417062. Its totient is φ = 3135836160000.

The previous prime is 12167081279933. The next prime is 12167081280017. The reversal of 12167081280000 is 8218076121.

It can be written as a sum of positive squares in 5 ways, for example, as 361095231744 + 11805986048256 = 600912^2 + 3435984^2 .

It is a tau number, because it is divible by the number of its divisors (1500).

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

It is an unprimeable number.

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 149 ways as a sum of consecutive naturals, for example, 113711039947 + ... + 113711040053.

Almost surely, 2^{12167081280000} is an apocalyptic number.

12167081280000 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 12167081280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23462616708531).

12167081280000 is an abundant number, since it is smaller than the sum of its proper divisors (34758152137062).

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

12167081280000 is an frugal number, since it uses more digits than its factorization.

12167081280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 12167081280000 in words is "twelve trillion, one hundred sixty-seven billion, eighty-one million, two hundred eighty thousand".