222112000 has 144 divisors (see below), whose sum is σ = 604566144. Its totient is φ = 80640000.

The previous prime is 222111983. The next prime is 222112001. The reversal of 222112000 is 211222.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (222112001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351685 + ... + 352315.

It is an arithmetic number, because the mean of its divisors is an integer number (4198376).

Almost surely, 2^222112000 is an apocalyptic number.

222112000 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 222112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302283072).

222112000 is an abundant number, since it is smaller than the sum of its proper divisors (382454144).

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

222112000 is an equidigital number, since it uses as much as digits as its factorization.

222112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 222112000 is about 14903.4224257383. The cubic root of 222112000 is about 605.6067041809.

Adding to 222112000 its reverse (211222), we get a palindrome (222323222).

The spelling of 222112000 in words is "two hundred twenty-two million, one hundred twelve thousand".