129119958016 has 528 divisors, whose sum is σ = 346788656640. Its totient is φ = 47563407360.

The previous prime is 129119958013. The next prime is 129119958017. The reversal of 129119958016 is 610859911921.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129119958013) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 502412160 + ... + 502412416.

Almost surely, 2^129119958016 is an apocalyptic number.

129119958016 is a gapful number since it is divisible by the number (16) 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 129119958016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173394328320).

129119958016 is an abundant number, since it is smaller than the sum of its proper divisors (217668698624).

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

129119958016 is a wasteful number, since it uses less digits than its factorization.

129119958016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 52.

The spelling of 129119958016 in words is "one hundred twenty-nine billion, one hundred nineteen million, nine hundred fifty-eight thousand, sixteen".