232221131011200 has 96 divisors (see below), whose sum is σ = 764878350299760. Its totient is φ = 61925634933760.

The previous prime is 232221131011151. The next prime is 232221131011201. The reversal of 232221131011200 is 2110131122232.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×232221131011200³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (232221131011201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12094840974 + ... + 12094860173.

Almost surely, 2^{232221131011200} is an apocalyptic number.

232221131011200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232221131011200 is an abundant number, since it is smaller than the sum of its proper divisors (532657219288560).

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

232221131011200 is a wasteful number, since it uses less digits than its factorization.

232221131011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24189701174 (or 24189701157 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 232221131011200 its reverse (2110131122232), we get a palindrome (234331262133432).

The spelling of 232221131011200 in words is "two hundred thirty-two trillion, two hundred twenty-one billion, one hundred thirty-one million, eleven thousand, two hundred".