129116400 has 240 divisors, whose sum is σ = 498182400. Its totient is φ = 27924480.

The previous prime is 129116363. The next prime is 129116417. The reversal of 129116400 is 4611921.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 47 ways as a sum of consecutive naturals, for example, 159196 + ... + 160004.

It is an arithmetic number, because the mean of its divisors is an integer number (2075760).

Almost surely, 2^129116400 is an apocalyptic number.

129116400 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 129116400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249091200).

129116400 is an abundant number, since it is smaller than the sum of its proper divisors (369066000).

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

129116400 is a wasteful number, since it uses less digits than its factorization.

129116400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 129116400 is about 11362.9397604669. The cubic root of 129116400 is about 505.4293639518.

The spelling of 129116400 in words is "one hundred twenty-nine million, one hundred sixteen thousand, four hundred".