12513445200 has 180 divisors, whose sum is σ = 43949374560. Its totient is φ = 3296636160.

The previous prime is 12513445183. The next prime is 12513445211. The reversal of 12513445200 is 254431521.

12513445200 is a `hidden beast` number, since 1 + 2 + 5 + 13 + 445 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 277861 + ... + 319739.

It is an arithmetic number, because the mean of its divisors is an integer number (244163192).

Almost surely, 2^12513445200 is an apocalyptic number.

12513445200 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 12513445200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21974687280).

12513445200 is an abundant number, since it is smaller than the sum of its proper divisors (31435929360).

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

12513445200 is a wasteful number, since it uses less digits than its factorization.

12513445200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41986 (or 41972 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 12513445200 its reverse (254431521), we get a palindrome (12767876721).

The spelling of 12513445200 in words is "twelve billion, five hundred thirteen million, four hundred forty-five thousand, two hundred".