12735242982 has 180 divisors, whose sum is σ = 36490233780. Its totient is φ = 3307605840.

The previous prime is 12735242981. The next prime is 12735243013. The reversal of 12735242982 is 28924253721.

12735242982 is a `hidden beast` number, since 1 + 2 + 7 + 352 + 4 + 298 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12735242981) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 953869 + ... + 967127.

It is an arithmetic number, because the mean of its divisors is an integer number (202723521).

Almost surely, 2^12735242982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12735242982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18245116890).

12735242982 is an abundant number, since it is smaller than the sum of its proper divisors (23754990798).

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

12735242982 is a wasteful number, since it uses less digits than its factorization.

12735242982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13309 (or 13282 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 12735242982 in words is "twelve billion, seven hundred thirty-five million, two hundred forty-two thousand, nine hundred eighty-two".