12829180 has 144 divisors (see below), whose sum is σ = 36197280. Its totient is φ = 3773952.

The previous prime is 12829177. The next prime is 12829181. The reversal of 12829180 is 8192821.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12829181) 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 47 ways as a sum of consecutive naturals, for example, 242034 + ... + 242086.

It is an arithmetic number, because the mean of its divisors is an integer number (251370).

Almost surely, 2^12829180 is an apocalyptic number.

12829180 is a gapful number since it is divisible by the number (10) 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 12829180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18098640).

12829180 is an abundant number, since it is smaller than the sum of its proper divisors (23368100).

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

12829180 is a wasteful number, since it uses less digits than its factorization.

12829180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

The square root of 12829180 is about 3581.7844714611. The cubic root of 12829180 is about 234.0990400635.

The spelling of 12829180 in words is "twelve million, eight hundred twenty-nine thousand, one hundred eighty".