129312229200 has 960 divisors, whose sum is σ = 551617075200. Its totient is φ = 25082265600.

The previous prime is 129312229199. The next prime is 129312229217. The reversal of 129312229200 is 2922213921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 191 ways as a sum of consecutive naturals, for example, 128158296 + ... + 128159304.

It is an arithmetic number, because the mean of its divisors is an integer number (574601120).

Almost surely, 2^129312229200 is an apocalyptic number.

129312229200 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 129312229200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275808537600).

129312229200 is an abundant number, since it is smaller than the sum of its proper divisors (422304846000).

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

129312229200 is a wasteful number, since it uses less digits than its factorization.

129312229200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 129312229200 in words is "one hundred twenty-nine billion, three hundred twelve million, two hundred twenty-nine thousand, two hundred".