21122112 has 112 divisors (see below), whose sum is σ = 62252352. Its totient is φ = 6266880.

The previous prime is 21122111. The next prime is 21122161.

21122112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21122112² = 892287230681088, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (21122111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154108 + ... + 154244.

Almost surely, 2^21122112 is an apocalyptic number.

21122112 is a gapful number since it is divisible by the number (22) 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 21122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31126176).

21122112 is an abundant number, since it is smaller than the sum of its proper divisors (41130240).

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

21122112 is a wasteful number, since it uses less digits than its factorization.

21122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 226 counting only the distinct ones).

The product of its digits is 16, while the sum is 12.

The square root of 21122112 is about 4595.8798939920. The cubic root of 21122112 is about 276.4261427910.

It can be divided in two parts, 2112 and 2112, that added together give a palindrome (4224).

The spelling of 21122112 in words is "twenty-one million, one hundred twenty-two thousand, one hundred twelve".