129933312 has 112 divisors (see below), whose sum is σ = 368027712. Its totient is φ = 40632320.

The previous prime is 129933277. The next prime is 129933313. The reversal of 129933312 is 213339921.

129933312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (129933313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 417637 + ... + 417947.

Almost surely, 2^129933312 is an apocalyptic number.

129933312 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 129933312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184013856).

129933312 is an abundant number, since it is smaller than the sum of its proper divisors (238094400).

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

129933312 is an equidigital number, since it uses as much as digits as its factorization.

129933312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 333 counting only the distinct ones).

The product of its digits is 8748, while the sum is 33.

The square root of 129933312 is about 11398.8294135845. The cubic root of 129933312 is about 506.4930645627.

The spelling of 129933312 in words is "one hundred twenty-nine million, nine hundred thirty-three thousand, three hundred twelve".