12982597020 has 144 divisors (see below), whose sum is σ = 43255779840. Its totient is φ = 3137194368.

The previous prime is 12982596967. The next prime is 12982597021. The reversal of 12982597020 is 2079528921.

It is a happy number.

12982597020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12982597021) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3864 + ... + 161183.

It is an arithmetic number, because the mean of its divisors is an integer number (300387360).

Almost surely, 2^12982597020 is an apocalyptic number.

12982597020 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 12982597020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21627889920).

12982597020 is an abundant number, since it is smaller than the sum of its proper divisors (30273182820).

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

12982597020 is a wasteful number, since it uses less digits than its factorization.

12982597020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165104 (or 165099 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 12982597020 in words is "twelve billion, nine hundred eighty-two million, five hundred ninety-seven thousand, twenty".