230221131200 has 168 divisors, whose sum is σ = 591723540960. Its totient is φ = 87994368000.

The previous prime is 230221131169. The next prime is 230221131277. The reversal of 230221131200 is 2131122032.

230221131200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×230221131200² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44194196 + ... + 44199404.

Almost surely, 2^230221131200 is an apocalyptic number.

230221131200 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 230221131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295861770480).

230221131200 is an abundant number, since it is smaller than the sum of its proper divisors (361502409760).

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

230221131200 is a wasteful number, since it uses less digits than its factorization.

230221131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6455 (or 6440 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 230221131200 its reverse (2131122032), we get a palindrome (232352253232).

The spelling of 230221131200 in words is "two hundred thirty billion, two hundred twenty-one million, one hundred thirty-one thousand, two hundred".