129117007800 has 384 divisors, whose sum is σ = 491031072000. Its totient is φ = 30922790400.

The previous prime is 129117007793. The next prime is 129117007837. The reversal of 129117007800 is 8700711921.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4917106 + ... + 4943294.

It is an arithmetic number, because the mean of its divisors is an integer number (1278726750).

Almost surely, 2^129117007800 is an apocalyptic number.

129117007800 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 129117007800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245515536000).

129117007800 is an abundant number, since it is smaller than the sum of its proper divisors (361914064200).

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

129117007800 is a wasteful number, since it uses less digits than its factorization.

129117007800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26308 (or 26293 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 36.

The spelling of 129117007800 in words is "one hundred twenty-nine billion, one hundred seventeen million, seven thousand, eight hundred".