12829152 has 96 divisors (see below), whose sum is σ = 40787712. Its totient is φ = 3446784.

The previous prime is 12829139. The next prime is 12829163. The reversal of 12829152 is 25192821.

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10863 + ... + 11985.

It is an arithmetic number, because the mean of its divisors is an integer number (424872).

Almost surely, 2^12829152 is an apocalyptic number.

12829152 is a gapful number since it is divisible by the number (12) 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 12829152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20393856).

12829152 is an abundant number, since it is smaller than the sum of its proper divisors (27958560).

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

12829152 is a wasteful number, since it uses less digits than its factorization.

12829152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1152 counting only the distinct ones).

The product of its digits is 2880, while the sum is 30.

The square root of 12829152 is about 3581.7805627928. The cubic root of 12829152 is about 234.0988697544.

The spelling of 12829152 in words is "twelve million, eight hundred twenty-nine thousand, one hundred fifty-two".