2222112000 has 288 divisors, whose sum is σ = 7499681280. Its totient is φ = 583065600.

The previous prime is 2222111999. The next prime is 2222112001. The reversal of 2222112000 is 2112222.

It is an interprime number because it is at equal distance from previous prime (2222111999) and next prime (2222112001).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2222112001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7583854 + ... + 7584146.

It is an arithmetic number, because the mean of its divisors is an integer number (26040560).

Almost surely, 2^2222112000 is an apocalyptic number.

2222112000 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 2222112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749840640).

2222112000 is an abundant number, since it is smaller than the sum of its proper divisors (5277569280).

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

2222112000 is an equidigital number, since it uses as much as digits as its factorization.

2222112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2222112000 is about 47139.2829813946. The cubic root of 2222112000 is about 1304.9343047623.

Adding to 2222112000 its reverse (2112222), we get a palindrome (2224224222).

The spelling of 2222112000 in words is "two billion, two hundred twenty-two million, one hundred twelve thousand".