129838730112 has 512 divisors, whose sum is σ = 473501952000. Its totient is φ = 34107899904.

The previous prime is 129838730111. The next prime is 129838730129. The reversal of 129838730112 is 211037838921.

129838730112 is a `hidden beast` number, since 129 + 8 + 387 + 30 + 112 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129838730111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98436589 + ... + 98437907.

It is an arithmetic number, because the mean of its divisors is an integer number (924808500).

Almost surely, 2^129838730112 is an apocalyptic number.

129838730112 is a gapful number since it is divisible by the number (12) 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 129838730112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236750976000).

129838730112 is an abundant number, since it is smaller than the sum of its proper divisors (343663221888).

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

129838730112 is a wasteful number, since it uses less digits than its factorization.

129838730112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 129838730112 in words is "one hundred twenty-nine billion, eight hundred thirty-eight million, seven hundred thirty thousand, one hundred twelve".