12951997968 has 160 divisors (see below), whose sum is σ = 41253359616. Its totient is φ = 3409887744.

The previous prime is 12951997967. The next prime is 12951997987. The reversal of 12951997968 is 86979915921.

It is a super-3 number, since 3×12951997968³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 12951997899 and 12951997908.

It is not an unprimeable number, because it can be changed into a prime (12951997967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2823805 + ... + 2828387.

Almost surely, 2^12951997968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12951997968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20626679808).

12951997968 is an abundant number, since it is smaller than the sum of its proper divisors (28301361648).

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

12951997968 is a wasteful number, since it uses less digits than its factorization.

12951997968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5261 (or 5255 counting only the distinct ones).

The product of its digits is 22044960, while the sum is 66.

The spelling of 12951997968 in words is "twelve billion, nine hundred fifty-one million, nine hundred ninety-seven thousand, nine hundred sixty-eight".