129327120 has 240 divisors, whose sum is σ = 480562992. Its totient is φ = 30965760.

The previous prime is 129327119. The next prime is 129327131. The reversal of 129327120 is 21723921.

It can be written as a sum of positive squares in 8 ways, for example, as 49617936 + 79709184 = 7044^2 + 8928^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 383592 + ... + 383928.

Almost surely, 2^129327120 is an apocalyptic number.

129327120 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 129327120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240281496).

129327120 is an abundant number, since it is smaller than the sum of its proper divisors (351235872).

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

129327120 is a wasteful number, since it uses less digits than its factorization.

With its successor (129327121) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (410).

129327120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 129327120 is about 11372.2082288358. The cubic root of 129327120 is about 505.7041707393.

The spelling of 129327120 in words is "one hundred twenty-nine million, three hundred twenty-seven thousand, one hundred twenty".