12687119424 has 448 divisors, whose sum is σ = 45108449280. Its totient is φ = 3461128704.

The previous prime is 12687119399. The next prime is 12687119443. The reversal of 12687119424 is 42491178621.

It is a tau number, because it is divible by the number of its divisors (448).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12687119424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22534567 + ... + 22535129.

Almost surely, 2^12687119424 is an apocalyptic number.

12687119424 is a gapful number since it is divisible by the number (14) 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 12687119424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22554224640).

12687119424 is an abundant number, since it is smaller than the sum of its proper divisors (32421329856).

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

12687119424 is an frugal number, since it uses more digits than its factorization.

12687119424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 598 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 12687119424 in words is "twelve billion, six hundred eighty-seven million, one hundred nineteen thousand, four hundred twenty-four".