12982341260160 has 512 divisors, whose sum is σ = 47872867190400. Its totient is φ = 3322139443200.

The previous prime is 12982341260143. The next prime is 12982341260173. The reversal of 12982341260160 is 6106214328921.

12982341260160 is a `hidden beast` number, since 1 + 2 + 9 + 8 + 2 + 34 + 1 + 2 + 601 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43067082 + ... + 43367478.

Almost surely, 2^{12982341260160} is an apocalyptic number.

12982341260160 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 12982341260160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23936433595200).

12982341260160 is an abundant number, since it is smaller than the sum of its proper divisors (34890525930240).

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

12982341260160 is a wasteful number, since it uses less digits than its factorization.

12982341260160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300527 (or 300509 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 12982341260160 in words is "twelve trillion, nine hundred eighty-two billion, three hundred forty-one million, two hundred sixty thousand, one hundred sixty".