12531834200 has 96 divisors (see below), whose sum is σ = 29437959600. Its totient is φ = 4961149440.

The previous prime is 12531834191. The next prime is 12531834209. The reversal of 12531834200 is 243813521.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12531834191) and next prime (12531834209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12531834209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9953171 + ... + 9954429.

Almost surely, 2^12531834200 is an apocalyptic number.

12531834200 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 12531834200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14718979800).

12531834200 is an abundant number, since it is smaller than the sum of its proper divisors (16906125400).

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

12531834200 is a wasteful number, since it uses less digits than its factorization.

12531834200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The spelling of 12531834200 in words is "twelve billion, five hundred thirty-one million, eight hundred thirty-four thousand, two hundred".