221311355112 has 80 divisors (see below), whose sum is σ = 636630205860. Its totient is φ = 71776647936.

The previous prime is 221311355077. The next prime is 221311355117. The reversal of 221311355112 is 211553113122.

221311355112 is a `hidden beast` number, since 2 + 2 + 13 + 1 + 135 + 511 + 2 = 666.

221311355112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 162323575236 + 58987779876 = 402894^2 + 242874^2 .

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

It is not an unprimeable number, because it can be changed into a prime (221311355117) 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 19 ways as a sum of consecutive naturals, for example, 4591293 + ... + 4639244.

Almost surely, 2^221311355112 is an apocalyptic number.

It is an amenable number.

221311355112 is an abundant number, since it is smaller than the sum of its proper divisors (415318850748).

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

221311355112 is a wasteful number, since it uses less digits than its factorization.

221311355112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9230592 (or 9230579 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

Adding to 221311355112 its reverse (211553113122), we get a palindrome (432864468234).

The spelling of 221311355112 in words is "two hundred twenty-one billion, three hundred eleven million, three hundred fifty-five thousand, one hundred twelve".