221113112220 has 1152 divisors, whose sum is σ = 979778322432. Its totient is φ = 38817792000.

The previous prime is 221113112191. The next prime is 221113112261. The reversal of 221113112220 is 22211311122.

221113112220 is a `hidden beast` number, since 22 + 111 + 311 + 2 + 220 = 666.

It is a super-2 number, since 2×221113112220² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221113112193 and 221113112202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 113332245 + ... + 113334195.

It is an arithmetic number, because the mean of its divisors is an integer number (850502016).

Almost surely, 2^221113112220 is an apocalyptic number.

221113112220 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 221113112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489889161216).

221113112220 is an abundant number, since it is smaller than the sum of its proper divisors (758665210212).

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

221113112220 is a wasteful number, since it uses less digits than its factorization.

221113112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 221113112220 its reverse (22211311122), we get a palindrome (243324423342).

It can be divided in two parts, 221113 and 112220, that added together give a palindrome (333333).

The spelling of 221113112220 in words is "two hundred twenty-one billion, one hundred thirteen million, one hundred twelve thousand, two hundred twenty".