221112000000 has 840 divisors, whose sum is σ = 829098918648. Its totient is φ = 56678400000.

The previous prime is 221111999993. The next prime is 221112000013. The reversal of 221112000000 is 211122.

221112000000 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 (9).

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 83 ways as a sum of consecutive naturals, for example, 2663999959 + ... + 2664000041.

Almost surely, 2^221112000000 is an apocalyptic number.

221112000000 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 221112000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414549459324).

221112000000 is an abundant number, since it is smaller than the sum of its proper divisors (607986918648).

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

221112000000 is an frugal number, since it uses more digits than its factorization.

221112000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 221112000000 its reverse (211122), we get a palindrome (221112211122).

The spelling of 221112000000 in words is "two hundred twenty-one billion, one hundred twelve million", and thus it is an aban number.