12984967840 has 144 divisors (see below), whose sum is σ = 34869062088. Its totient is φ = 4541847552.

The previous prime is 12984967813. The next prime is 12984967867. The reversal of 12984967840 is 4876948921.

It is an interprime number because it is at equal distance from previous prime (12984967813) and next prime (12984967867).

It can be written as a sum of positive squares in 4 ways, for example, as 4402057104 + 8582910736 = 66348^2 + 92644^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 742234 + ... + 759526.

Almost surely, 2^12984967840 is an apocalyptic number.

12984967840 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 12984967840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17434531044).

12984967840 is an abundant number, since it is smaller than the sum of its proper divisors (21884094248).

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

12984967840 is a wasteful number, since it uses less digits than its factorization.

12984967840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17359 (or 17332 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 58.

The spelling of 12984967840 in words is "twelve billion, nine hundred eighty-four million, nine hundred sixty-seven thousand, eight hundred forty".