12586427025120 has 576 divisors, whose sum is σ = 46592744837184. Its totient is φ = 3075638722560.

The previous prime is 12586427025119. The next prime is 12586427025127. The reversal of 12586427025120 is 2152072468521.

12586427025120 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 64 + 2 + 70 + 2 + 512 + 0 = 666.

It is a super-2 number, since 2×12586427025120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12586427025127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2464541607 + ... + 2464546713.

It is an arithmetic number, because the mean of its divisors is an integer number (80890182009).

Almost surely, 2^{12586427025120} is an apocalyptic number.

12586427025120 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 12586427025120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23296372418592).

12586427025120 is an abundant number, since it is smaller than the sum of its proper divisors (34006317812064).

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

12586427025120 is a wasteful number, since it uses less digits than its factorization.

12586427025120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6075 (or 6064 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 12586427025120 in words is "twelve trillion, five hundred eighty-six billion, four hundred twenty-seven million, twenty-five thousand, one hundred twenty".