12429936 has 120 divisors (see below), whose sum is σ = 37914240. Its totient is φ = 3934656.

The previous prime is 12429889. The next prime is 12429947. The reversal of 12429936 is 63992421.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 12429936.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 89355 + ... + 89493.

It is an arithmetic number, because the mean of its divisors is an integer number (315952).

Almost surely, 2^12429936 is an apocalyptic number.

12429936 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 12429936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18957120).

12429936 is an abundant number, since it is smaller than the sum of its proper divisors (25484304).

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

12429936 is a wasteful number, since it uses less digits than its factorization.

12429936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 167 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 12429936 is about 3525.6114363327. The cubic root of 12429936 is about 231.6450179611.

The spelling of 12429936 in words is "twelve million, four hundred twenty-nine thousand, nine hundred thirty-six".