12341675072000 has 160 divisors (see below), whose sum is σ = 30875030746560. Its totient is φ = 4920581836800.

The previous prime is 12341675071987. The next prime is 12341675072039. The reversal of 12341675072000 is 27057614321.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19333931 + ... + 19962069.

It is an arithmetic number, because the mean of its divisors is an integer number (192968942166).

Almost surely, 2^{12341675072000} is an apocalyptic number.

12341675072000 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 12341675072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15437515373280).

12341675072000 is an abundant number, since it is smaller than the sum of its proper divisors (18533355674560).

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

12341675072000 is an frugal number, since it uses more digits than its factorization.

12341675072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628479 (or 628453 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The spelling of 12341675072000 in words is "twelve trillion, three hundred forty-one billion, six hundred seventy-five million, seventy-two thousand".