129120768 has 120 divisors (see below), whose sum is σ = 425993568. Its totient is φ = 36882432.

The previous prime is 129120749. The next prime is 129120779. The reversal of 129120768 is 867021921.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30255 + ... + 34257.

Almost surely, 2^129120768 is an apocalyptic number.

129120768 is a gapful number since it is divisible by the number (18) 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 129120768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212996784).

129120768 is an abundant number, since it is smaller than the sum of its proper divisors (296872800).

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

129120768 is an equidigital number, since it uses as much as digits as its factorization.

129120768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4034 (or 4015 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 129120768 is about 11363.1319626237. The cubic root of 129120768 is about 505.4350634358.

The spelling of 129120768 in words is "one hundred twenty-nine million, one hundred twenty thousand, seven hundred sixty-eight".