129469005120 has 448 divisors, whose sum is σ = 522256121856. Its totient is φ = 26434805760.

The previous prime is 129469005109. The next prime is 129469005143. The reversal of 129469005120 is 21500964921.

129469005120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2684257 + ... + 2732063.

It is an arithmetic number, because the mean of its divisors is an integer number (1165750272).

Almost surely, 2^129469005120 is an apocalyptic number.

129469005120 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 129469005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261128060928).

129469005120 is an abundant number, since it is smaller than the sum of its proper divisors (392787116736).

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

129469005120 is a wasteful number, since it uses less digits than its factorization.

129469005120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47878 (or 47868 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 129469005120 in words is "one hundred twenty-nine billion, four hundred sixty-nine million, five thousand, one hundred twenty".