221033133312 has 144 divisors (see below), whose sum is σ = 608839510272. Its totient is φ = 71138672640.

The previous prime is 221033133311. The next prime is 221033133379. The reversal of 221033133312 is 213331330122.

221033133312 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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221033133311) 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 15 ways as a sum of consecutive naturals, for example, 3018153 + ... + 3090519.

Almost surely, 2^221033133312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221033133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304419755136).

221033133312 is an abundant number, since it is smaller than the sum of its proper divisors (387806376960).

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

221033133312 is an equidigital number, since it uses as much as digits as its factorization.

221033133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72524 (or 72510 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 221033133312 its reverse (213331330122), we get a palindrome (434364463434).

The spelling of 221033133312 in words is "two hundred twenty-one billion, thirty-three million, one hundred thirty-three thousand, three hundred twelve".