129129924 has 192 divisors, whose sum is σ = 399974400. Its totient is φ = 31449600.

The previous prime is 129129893. The next prime is 129129929. The reversal of 129129924 is 429921921.

It is not an unprimeable number, because it can be changed into a prime (129129929) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1634517 + ... + 1634595.

It is an arithmetic number, because the mean of its divisors is an integer number (2083200).

Almost surely, 2^129129924 is an apocalyptic number.

129129924 is a gapful number since it is divisible by the number (14) 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 129129924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199987200).

129129924 is an abundant number, since it is smaller than the sum of its proper divisors (270844476).

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

129129924 is a wasteful number, since it uses less digits than its factorization.

129129924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 192 counting only the distinct ones).

The product of its digits is 23328, while the sum is 39.

The square root of 129129924 is about 11363.5348373646. The cubic root of 129129924 is about 505.4470100140.

The spelling of 129129924 in words is "one hundred twenty-nine million, one hundred twenty-nine thousand, nine hundred twenty-four".