12249216 has 192 divisors, whose sum is σ = 42432000. Its totient is φ = 3386880.

The previous prime is 12249203. The next prime is 12249229. The reversal of 12249216 is 61294221.

It is an interprime number because it is at equal distance from previous prime (12249203) and next prime (12249229).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×12249216² = 300086585229312, which contains 22 as substring.

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

Its product of digits (1728) is a multiple of the sum of its prime factors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 12249216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 395121 + ... + 395151.

It is an arithmetic number, because the mean of its divisors is an integer number (221000).

Almost surely, 2^12249216 is an apocalyptic number.

12249216 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 12249216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21216000).

12249216 is an abundant number, since it is smaller than the sum of its proper divisors (30182784).

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

12249216 is an equidigital number, since it uses as much as digits as its factorization.

12249216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 43 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 12249216 is about 3499.8879982079. The cubic root of 12249216 is about 230.5168966993.

It can be divided in two parts, 1224 and 9216, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 12249216 in words is "twelve million, two hundred forty-nine thousand, two hundred sixteen".