14121216 has 108 divisors (see below), whose sum is σ = 42408912. Its totient is φ = 4686336.

The previous prime is 14121167. The next prime is 14121221. The reversal of 14121216 is 61212141.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62095 + ... + 62321.

Almost surely, 2^14121216 is an apocalyptic number.

14121216 is a gapful number since it is divisible by the number (16) 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 14121216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21204456).

14121216 is an abundant number, since it is smaller than the sum of its proper divisors (28287696).

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

14121216 is an frugal number, since it uses more digits than its factorization.

14121216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 232 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 14121216 is about 3757.8206450016. The cubic root of 14121216 is about 241.7078184909.

Adding to 14121216 its reverse (61212141), we get a palindrome (75333357).

It can be divided in two parts, 1412 and 1216, that added together give a triangular number (2628 = T₇₂).

The spelling of 14121216 in words is "fourteen million, one hundred twenty-one thousand, two hundred sixteen".