129257712 has 60 divisors (see below), whose sum is σ = 365166360. Its totient is φ = 42678144.

The previous prime is 129257683. The next prime is 129257717. The reversal of 129257712 is 217752921.

It is a super-2 number, since 2×129257712² = 33415112222949888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129257717) 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 11 ways as a sum of consecutive naturals, for example, 11214 + ... + 19602.

It is an arithmetic number, because the mean of its divisors is an integer number (6086106).

Almost surely, 2^129257712 is an apocalyptic number.

129257712 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 129257712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182583180).

129257712 is an abundant number, since it is smaller than the sum of its proper divisors (235908648).

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

129257712 is a wasteful number, since it uses less digits than its factorization.

129257712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8510 (or 8501 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 129257712 is about 11369.1561692150. The cubic root of 129257712 is about 505.6136865053.

The spelling of 129257712 in words is "one hundred twenty-nine million, two hundred fifty-seven thousand, seven hundred twelve".