12687139540224 has 216 divisors, whose sum is σ = 36990907134272. Its totient is φ = 4181638348800.

The previous prime is 12687139540171. The next prime is 12687139540303. The reversal of 12687139540224 is 42204593178621.

It is a happy number.

12687139540224 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 71 + 3 + 9 + 540 + 2 + 24 = 666.

It is a super-2 number, since 2×12687139540224² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 250951749 + ... + 251002299.

It is a 1-persistent number, because it is pandigital, but 2⋅12687139540224 = 25374279080448 is not.

Almost surely, 2^{12687139540224} 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 12687139540224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18495453567136).

12687139540224 is an abundant number, since it is smaller than the sum of its proper divisors (24303767594048).

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

12687139540224 is a wasteful number, since it uses less digits than its factorization.

12687139540224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51793 (or 51776 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 12687139540224 in words is "twelve trillion, six hundred eighty-seven billion, one hundred thirty-nine million, five hundred forty thousand, two hundred twenty-four".