129085312 has 64 divisors (see below), whose sum is σ = 269280000. Its totient is φ = 61576704.

The previous prime is 129085303. The next prime is 129085331. The reversal of 129085312 is 213580921.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 258439 + ... + 258937.

It is an arithmetic number, because the mean of its divisors is an integer number (4207500).

Almost surely, 2^129085312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129085312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134640000).

129085312 is an abundant number, since it is smaller than the sum of its proper divisors (140194688).

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

129085312 is an equidigital number, since it uses as much as digits as its factorization.

129085312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 129085312 is about 11361.5717222574. The cubic root of 129085312 is about 505.3887957789.

The spelling of 129085312 in words is "one hundred twenty-nine million, eighty-five thousand, three hundred twelve".