129280338124800 has 336 divisors, whose sum is σ = 428453559217152. Its totient is φ = 34394698547200.

The previous prime is 129280338124793. The next prime is 129280338124907. The reversal of 129280338124800 is 8421833082921.

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 23 ways as a sum of consecutive naturals, for example, 264562297 + ... + 265050503.

It is an arithmetic number, because the mean of its divisors is an integer number (1275159402432).

Almost surely, 2^{129280338124800} is an apocalyptic number.

129280338124800 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 129280338124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214226779608576).

129280338124800 is an abundant number, since it is smaller than the sum of its proper divisors (299173221092352).

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

129280338124800 is an equidigital number, since it uses as much as digits as its factorization.

129280338124800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488677 (or 488648 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 129280338124800 in words is "one hundred twenty-nine trillion, two hundred eighty billion, three hundred thirty-eight million, one hundred twenty-four thousand, eight hundred".