129345120 has 192 divisors, whose sum is σ = 459648000. Its totient is φ = 33965568.

The previous prime is 129345109. The next prime is 129345121. The reversal of 129345120 is 21543921.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129345121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 341091 + ... + 341469.

It is an arithmetic number, because the mean of its divisors is an integer number (2394000).

Almost surely, 2^129345120 is an apocalyptic number.

129345120 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 129345120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229824000).

129345120 is an abundant number, since it is smaller than the sum of its proper divisors (330302880).

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

129345120 is a wasteful number, since it uses less digits than its factorization.

129345120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 129345120 is about 11372.9996043260. Note that the first 3 decimals coincide. The cubic root of 129345120 is about 505.7276312808.

The spelling of 129345120 in words is "one hundred twenty-nine million, three hundred forty-five thousand, one hundred twenty".