12130313200 has 120 divisors (see below), whose sum is σ = 29497779680. Its totient is φ = 4793472000.

The previous prime is 12130313189. The next prime is 12130313213. The reversal of 12130313200 is 231303121.

12130313200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 13831162 + ... + 13832038.

Almost surely, 2^12130313200 is an apocalyptic number.

12130313200 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 12130313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14748889840).

12130313200 is an abundant number, since it is smaller than the sum of its proper divisors (17367466480).

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

12130313200 is a wasteful number, since it uses less digits than its factorization.

12130313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 12130313200 its reverse (231303121), we get a palindrome (12361616321).

The spelling of 12130313200 in words is "twelve billion, one hundred thirty million, three hundred thirteen thousand, two hundred".