231230221333200 has 480 divisors, whose sum is σ = 827153027072000. Its totient is φ = 61351473600000.

The previous prime is 231230221333187. The next prime is 231230221333217. The reversal of 231230221333200 is 2333122032132.

231230221333200 is a `hidden beast` number, since 2 + 3 + 1 + 2 + 302 + 2 + 1 + 33 + 320 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2197974201 + ... + 2198079399.

Almost surely, 2^{231230221333200} is an apocalyptic number.

231230221333200 is a gapful number since it is divisible by the number (20) 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 231230221333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413576513536000).

231230221333200 is an abundant number, since it is smaller than the sum of its proper divisors (595922805738800).

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

231230221333200 is a wasteful number, since it uses less digits than its factorization.

231230221333200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106248 (or 106231 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 231230221333200 its reverse (2333122032132), we get a palindrome (233563343365332).

The spelling of 231230221333200 in words is "two hundred thirty-one trillion, two hundred thirty billion, two hundred twenty-one million, three hundred thirty-three thousand, two hundred".