13282421200 has 120 divisors (see below), whose sum is σ = 34674725120. Its totient is φ = 4870886400.

The previous prime is 13282421171. The next prime is 13282421227. The reversal of 13282421200 is 212428231.

13282421200 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 (25).

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, 207412 + ... + 263788.

Almost surely, 2^13282421200 is an apocalyptic number.

13282421200 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 13282421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17337362560).

13282421200 is an abundant number, since it is smaller than the sum of its proper divisors (21392303920).

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

13282421200 is a wasteful number, since it uses less digits than its factorization.

13282421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56445 (or 56434 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 13282421200 its reverse (212428231), we get a palindrome (13494849431).

The spelling of 13282421200 in words is "thirteen billion, two hundred eighty-two million, four hundred twenty-one thousand, two hundred".