2220112000 has 256 divisors, whose sum is σ = 5951088000. Its totient is φ = 821145600.

The previous prime is 2220111977. The next prime is 2220112009. The reversal of 2220112000 is 2110222.

It is a super-3 number, since 3×2220112000³ (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220112009) 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, 20367946 + ... + 20368054.

Almost surely, 2^2220112000 is an apocalyptic number.

2220112000 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 2220112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2975544000).

2220112000 is an abundant number, since it is smaller than the sum of its proper divisors (3730976000).

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

2220112000 is a wasteful number, since it uses less digits than its factorization.

2220112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 202 counting only the distinct ones).

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

The square root of 2220112000 is about 47118.0644763768. The cubic root of 2220112000 is about 1304.5426875380.

Adding to 2220112000 its reverse (2110222), we get a palindrome (2222222222).

The spelling of 2220112000 in words is "two billion, two hundred twenty million, one hundred twelve thousand".