12129936 has 80 divisors (see below), whose sum is σ = 38580864. Its totient is φ = 3197952.

The previous prime is 12129919. The next prime is 12129937. The reversal of 12129936 is 63992121.

It is a junction number, because it is equal to n+sod(n) for n = 12129897 and 12129906.

It is not an unprimeable number, because it can be changed into a prime (12129937) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2980 + ... + 5756.

Almost surely, 2^12129936 is an apocalyptic number.

12129936 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 12129936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19290432).

12129936 is an abundant number, since it is smaller than the sum of its proper divisors (26450928).

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

12129936 is a wasteful number, since it uses less digits than its factorization.

12129936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2808 (or 2802 counting only the distinct ones).

The product of its digits is 5832, while the sum is 33.

The square root of 12129936 is about 3482.8057654713. The cubic root of 12129936 is about 229.7662148739.

The spelling of 12129936 in words is "twelve million, one hundred twenty-nine thousand, nine hundred thirty-six".