12982426240 has 128 divisors (see below), whose sum is σ = 35579232000. Its totient is φ = 4437393408.

The previous prime is 12982426213. The next prime is 12982426243. The reversal of 12982426240 is 4262428921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 12982426193 and 12982426202.

It is not an unprimeable number, because it can be changed into a prime (12982426243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1505461 + ... + 1514059.

It is an arithmetic number, because the mean of its divisors is an integer number (277962750).

Almost surely, 2^12982426240 is an apocalyptic number.

12982426240 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 12982426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17789616000).

12982426240 is an abundant number, since it is smaller than the sum of its proper divisors (22596805760).

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

12982426240 is an equidigital number, since it uses as much as digits as its factorization.

12982426240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8962 (or 8950 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 12982426240 in words is "twelve billion, nine hundred eighty-two million, four hundred twenty-six thousand, two hundred forty".