129235200 has 216 divisors, whose sum is σ = 437971968. Its totient is φ = 33546240.

The previous prime is 129235189. The next prime is 129235213. The reversal of 129235200 is 2532921.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1017537 + ... + 1017663.

It is an arithmetic number, because the mean of its divisors is an integer number (2027648).

Almost surely, 2^129235200 is an apocalyptic number.

129235200 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 129235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218985984).

129235200 is an abundant number, since it is smaller than the sum of its proper divisors (308736768).

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

129235200 is a wasteful number, since it uses less digits than its factorization.

129235200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 129235200 is about 11368.1660790120. The cubic root of 129235200 is about 505.5843316193.

The spelling of 129235200 in words is "one hundred twenty-nine million, two hundred thirty-five thousand, two hundred".