221111222112 has 432 divisors, whose sum is σ = 713933700480. Its totient is φ = 64815759360.

The previous prime is 221111222099. The next prime is 221111222119. The reversal of 221111222112 is 211222111122.

221111222112 is a `hidden beast` number, since 221 + 111 + 222 + 112 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221111222119) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 287530464 + ... + 287531232.

Almost surely, 2^221111222112 is an apocalyptic number.

221111222112 is a gapful number since it is divisible by the number (22) 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 221111222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356966850240).

221111222112 is an abundant number, since it is smaller than the sum of its proper divisors (492822478368).

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

221111222112 is a wasteful number, since it uses less digits than its factorization.

221111222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1045 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

Adding to 221111222112 its reverse (211222111122), we get a palindrome (432333333234).

It can be divided in two parts, 22111122 and 2112, that multiplied together give a palindrome (46698689664).

The spelling of 221111222112 in words is "two hundred twenty-one billion, one hundred eleven million, two hundred twenty-two thousand, one hundred twelve".