129120382248 has 256 divisors, whose sum is σ = 404020915200. Its totient is φ = 33802997760.

The previous prime is 129120382247. The next prime is 129120382271. The reversal of 129120382248 is 842283021921.

It is a super-2 number, since 2×129120382248² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (129120382247) 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, 5400336 + ... + 5424192.

It is an arithmetic number, because the mean of its divisors is an integer number (1578206700).

Almost surely, 2^129120382248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129120382248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202010457600).

129120382248 is an abundant number, since it is smaller than the sum of its proper divisors (274900532952).

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

129120382248 is a wasteful number, since it uses less digits than its factorization.

129120382248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23992 (or 23988 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 129120382248 in words is "one hundred twenty-nine billion, one hundred twenty million, three hundred eighty-two thousand, two hundred forty-eight".