129441120 has 96 divisors (see below), whose sum is σ = 420940800. Its totient is φ = 33400320.

The previous prime is 129441113. The next prime is 129441121. The reversal of 129441120 is 21144921.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129441121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10531 + ... + 19229.

It is an arithmetic number, because the mean of its divisors is an integer number (4384800).

Almost surely, 2^129441120 is an apocalyptic number.

129441120 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 129441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210470400).

129441120 is an abundant number, since it is smaller than the sum of its proper divisors (291499680).

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

129441120 is a wasteful number, since it uses less digits than its factorization.

129441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8748 (or 8740 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 129441120 is about 11377.2193439346. The cubic root of 129441120 is about 505.8527174232.

The spelling of 129441120 in words is "one hundred twenty-nine million, four hundred forty-one thousand, one hundred twenty".