12687100 has 54 divisors (see below), whose sum is σ = 29312360. Its totient is φ = 4765440.

The previous prime is 12687089. The next prime is 12687109. The reversal of 12687100 is 178621.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12687109) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 28681 + ... + 29119.

Almost surely, 2^12687100 is an apocalyptic number.

12687100 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 12687100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14656180).

12687100 is an abundant number, since it is smaller than the sum of its proper divisors (16625260).

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

12687100 is a wasteful number, since it uses less digits than its factorization.

12687100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 12687100 is about 3561.8955627587. The cubic root of 12687100 is about 233.2316336846.

The spelling of 12687100 in words is "twelve million, six hundred eighty-seven thousand, one hundred".