22112000 has 72 divisors (see below), whose sum is σ = 55163472. Its totient is φ = 8832000.

The previous prime is 22111979. The next prime is 22112003. The reversal of 22112000 is 21122.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22112003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31655 + ... + 32345.

Almost surely, 2^22112000 is an apocalyptic number.

22112000 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 22112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27581736).

22112000 is an abundant number, since it is smaller than the sum of its proper divisors (33051472).

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

22112000 is an frugal number, since it uses more digits than its factorization.

22112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 698 counting only the distinct ones).

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

The square root of 22112000 is about 4702.3398430994. The cubic root of 22112000 is about 280.6786260184.

Adding to 22112000 its reverse (21122), we get a palindrome (22133122).

It can be divided in two parts, 221 and 12000, that added together give a palindrome (12221).

The spelling of 22112000 in words is "twenty-two million, one hundred twelve thousand".