221333333112 has 128 divisors (see below), whose sum is σ = 639040953600. Its totient is φ = 70918706304.

The previous prime is 221333333107. The next prime is 221333333141. The reversal of 221333333112 is 211333333122.

221333333112 is a `hidden beast` number, since 2 + 2 + 13 + 3 + 333 + 311 + 2 = 666.

221333333112 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 (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 496503 + ... + 830169.

It is an arithmetic number, because the mean of its divisors is an integer number (4992507450).

Almost surely, 2^221333333112 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 221333333112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319520476800).

221333333112 is an abundant number, since it is smaller than the sum of its proper divisors (417707620488).

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

221333333112 is a wasteful number, since it uses less digits than its factorization.

221333333112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333802 (or 333792 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 221333333112 its reverse (211333333122), we get a palindrome (432666666234).

It can be divided in two parts, 221 and 333333112, that added together give a palindrome (333333333).

The spelling of 221333333112 in words is "two hundred twenty-one billion, three hundred thirty-three million, three hundred thirty-three thousand, one hundred twelve".