129082984800 has 576 divisors, whose sum is σ = 532765900800. Its totient is φ = 26365593600.

The previous prime is 129082984783. The next prime is 129082984817. The reversal of 129082984800 is 8489280921.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (129082984783) and next prime (129082984817).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10897281 + ... + 10909119.

It is an arithmetic number, because the mean of its divisors is an integer number (924940800).

Almost surely, 2^129082984800 is an apocalyptic number.

129082984800 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 129082984800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266382950400).

129082984800 is an abundant number, since it is smaller than the sum of its proper divisors (403682916000).

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

129082984800 is a wasteful number, since it uses less digits than its factorization.

129082984800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11939 (or 11926 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 51.

The spelling of 129082984800 in words is "one hundred twenty-nine billion, eighty-two million, nine hundred eighty-four thousand, eight hundred".