2022112000 has 144 divisors (see below), whose sum is σ = 5213426400. Its totient is φ = 780595200.

The previous prime is 2022111967. The next prime is 2022112003. The reversal of 2022112000 is 2112202.

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 (2022112003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 926911 + ... + 929089.

It is an arithmetic number, because the mean of its divisors is an integer number (36204350).

Almost surely, 2^2022112000 is an apocalyptic number.

2022112000 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 2022112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2606713200).

2022112000 is an abundant number, since it is smaller than the sum of its proper divisors (3191314400).

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

2022112000 is an equidigital number, since it uses as much as digits as its factorization.

2022112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2239 (or 2215 counting only the distinct ones).

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

The square root of 2022112000 is about 44967.8996618699. The cubic root of 2022112000 is about 1264.5472714270.

Adding to 2022112000 its reverse (2112202), we get a palindrome (2024224202).

The spelling of 2022112000 in words is "two billion, twenty-two million, one hundred twelve thousand".