12329416 has 48 divisors (see below), whose sum is σ = 26046720. Its totient is φ = 5464800.

The previous prime is 12329411. The next prime is 12329431. The reversal of 12329416 is 61492321.

12329416 = 489² + 490² + ... + 535².

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12329411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45361 + ... + 45631.

It is an arithmetic number, because the mean of its divisors is an integer number (542640).

Almost surely, 2^12329416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12329416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13023360).

12329416 is an abundant number, since it is smaller than the sum of its proper divisors (13717304).

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

12329416 is a wasteful number, since it uses less digits than its factorization.

12329416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 331 counting only the distinct ones).

The product of its digits is 2592, while the sum is 28.

The square root of 12329416 is about 3511.3268147525. The cubic root of 12329416 is about 231.0188949019.

It can be divided in two parts, 1232 and 9416, that added together give a cube (10648 = 22³).

The spelling of 12329416 in words is "twelve million, three hundred twenty-nine thousand, four hundred sixteen".