221111112000 has 896 divisors, whose sum is σ = 807447094272. Its totient is φ = 53084160000.

The previous prime is 221111111989. The next prime is 221111112023. The reversal of 221111112000 is 211111122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1464311925 + ... + 1464312075.

It is an arithmetic number, because the mean of its divisors is an integer number (901168632).

Almost surely, 2^221111112000 is an apocalyptic number.

221111112000 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 221111112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403723547136).

221111112000 is an abundant number, since it is smaller than the sum of its proper divisors (586335982272).

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

221111112000 is a wasteful number, since it uses less digits than its factorization.

221111112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 221111112000 its reverse (211111122), we get a palindrome (221322223122).

The spelling of 221111112000 in words is "two hundred twenty-one billion, one hundred eleven million, one hundred twelve thousand".