129129728000 has 768 divisors, whose sum is σ = 415549854720. Its totient is φ = 38928384000.

The previous prime is 129129727999. The next prime is 129129728029. The reversal of 129129728000 is 827921921.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 535807880 + ... + 535808120.

It is an arithmetic number, because the mean of its divisors is an integer number (541080540).

Almost surely, 2^129129728000 is an apocalyptic number.

129129728000 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 129129728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207774927360).

129129728000 is an abundant number, since it is smaller than the sum of its proper divisors (286420126720).

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

129129728000 is a wasteful number, since it uses less digits than its factorization.

129129728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 41.

The spelling of 129129728000 in words is "one hundred twenty-nine billion, one hundred twenty-nine million, seven hundred twenty-eight thousand".