21144112 has 40 divisors (see below), whose sum is σ = 47050560. Its totient is φ = 9103680.

The previous prime is 21144083. The next prime is 21144119.

It is a happy number.

21144112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21144119) 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, 183 + ... + 6505.

It is an arithmetic number, because the mean of its divisors is an integer number (1176264).

Almost surely, 2^21144112 is an apocalyptic number.

21144112 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 21144112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23525280).

21144112 is an abundant number, since it is smaller than the sum of its proper divisors (25906448).

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

21144112 is a wasteful number, since it uses less digits than its factorization.

21144112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6361 (or 6355 counting only the distinct ones).

The product of its digits is 64, while the sum is 16.

The square root of 21144112 is about 4598.2727191849. The cubic root of 21144112 is about 276.5220811925.

It can be divided in two parts, 2114 and 4112, that added together give a palindrome (6226).

The spelling of 21144112 in words is "twenty-one million, one hundred forty-four thousand, one hundred twelve".