12429216 has 72 divisors (see below), whose sum is σ = 35773920. Its totient is φ = 4093056.

The previous prime is 12429187. The next prime is 12429217. The reversal of 12429216 is 61292421.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 12429216.

It is not an unprimeable number, because it can be changed into a prime (12429217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29455 + ... + 29873.

It is an arithmetic number, because the mean of its divisors is an integer number (496860).

Almost surely, 2^12429216 is an apocalyptic number.

12429216 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 12429216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17886960).

12429216 is an abundant number, since it is smaller than the sum of its proper divisors (23344704).

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

12429216 is a wasteful number, since it uses less digits than its factorization.

12429216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 527 counting only the distinct ones).

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

The square root of 12429216 is about 3525.5093249061. The cubic root of 12429216 is about 231.6405452206.

The spelling of 12429216 in words is "twelve million, four hundred twenty-nine thousand, two hundred sixteen".