129871200 has 144 divisors (see below), whose sum is σ = 431128656. Its totient is φ = 33945600.

The previous prime is 129871187. The next prime is 129871207. The reversal of 129871200 is 2178921.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129871207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126690 + ... + 127710.

It is an arithmetic number, because the mean of its divisors is an integer number (2993949).

Almost surely, 2^129871200 is an apocalyptic number.

129871200 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 129871200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215564328).

129871200 is an abundant number, since it is smaller than the sum of its proper divisors (301257456).

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

129871200 is a wasteful number, since it uses less digits than its factorization.

129871200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 129871200 is about 11396.1045976246. The cubic root of 129871200 is about 506.4123454335.

The spelling of 129871200 in words is "one hundred twenty-nine million, eight hundred seventy-one thousand, two hundred".