12687001251900 has 144 divisors (see below), whose sum is σ = 37995101491200. Its totient is φ = 3265142803200.

The previous prime is 12687001251871. The next prime is 12687001251901. The reversal of 12687001251900 is 915210078621.

It is a super-2 number, since 2×12687001251900² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12687001251901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1554526 + ... + 5271674.

Almost surely, 2^{12687001251900} is an apocalyptic number.

12687001251900 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 12687001251900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18997550745600).

12687001251900 is an abundant number, since it is smaller than the sum of its proper divisors (25308100239300).

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

12687001251900 is a wasteful number, since it uses less digits than its factorization.

12687001251900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3717564 (or 3717557 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 42.

The spelling of 12687001251900 in words is "twelve trillion, six hundred eighty-seven billion, one million, two hundred fifty-one thousand, nine hundred".