129193820352 has 336 divisors, whose sum is σ = 402179162112. Its totient is φ = 39533598720.

The previous prime is 129193820333. The next prime is 129193820359. The reversal of 129193820352 is 253028391921.

129193820352 is a `hidden beast` number, since 1 + 291 + 9 + 3 + 8 + 2 + 0 + 352 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 129193820298 and 129193820307.

It is not an unprimeable number, because it can be changed into a prime (129193820359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52156138 + ... + 52158614.

It is an arithmetic number, because the mean of its divisors is an integer number (1196961792).

Almost surely, 2^129193820352 is an apocalyptic number.

129193820352 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 129193820352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201089581056).

129193820352 is an abundant number, since it is smaller than the sum of its proper divisors (272985341760).

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

129193820352 is a wasteful number, since it uses less digits than its factorization.

129193820352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676 (or 2663 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 129193820352 in words is "one hundred twenty-nine billion, one hundred ninety-three million, eight hundred twenty thousand, three hundred fifty-two".