129007320 has 128 divisors (see below), whose sum is σ = 427170240. Its totient is φ = 30965760.

The previous prime is 129007309. The next prime is 129007331. The reversal of 129007320 is 23700921.

It is an interprime number because it is at equal distance from previous prime (129007309) and next prime (129007331).

It is a super-2 number, since 2×129007320² = 33285777227164800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62952 + ... + 64968.

Almost surely, 2^129007320 is an apocalyptic number.

129007320 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 129007320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213585120).

129007320 is an abundant number, since it is smaller than the sum of its proper divisors (298162920).

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

129007320 is a wasteful number, since it uses less digits than its factorization.

With its successor (129007321) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (2081).

129007320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2085 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 129007320 is about 11358.1389320610. The cubic root of 129007320 is about 505.2869917257.

The spelling of 129007320 in words is "one hundred twenty-nine million, seven thousand, three hundred twenty".