12687083136 has 960 divisors, whose sum is σ = 50524939080. Its totient is φ = 3121348608.

The previous prime is 12687083041. The next prime is 12687083137. The reversal of 12687083136 is 63138078621.

12687083136 is a `hidden beast` number, since 1 + 268 + 70 + 8 + 313 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6584348736 + 6102734400 = 81144^2 + 78120^2 .

It is a super-3 number, since 3×12687083136³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12687083091 and 12687083100.

It is not an unprimeable number, because it can be changed into a prime (12687083137) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 112275016 + ... + 112275128.

Almost surely, 2^12687083136 is an apocalyptic number.

12687083136 is a gapful number since it is divisible by the number (16) 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 12687083136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25262469540).

12687083136 is an abundant number, since it is smaller than the sum of its proper divisors (37837855944).

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

12687083136 is a wasteful number, since it uses less digits than its factorization.

12687083136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 12687083136 in words is "twelve billion, six hundred eighty-seven million, eighty-three thousand, one hundred thirty-six".