129912164928 has 420 divisors, whose sum is σ = 482445674172. Its totient is φ = 34261678080.

The previous prime is 129912164923. The next prime is 129912164947. The reversal of 129912164928 is 829461219921.

129912164928 is a `hidden beast` number, since 1 + 29 + 9 + 121 + 6 + 492 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11416495104 + 118495669824 = 106848^2 + 344232^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (129912164923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3282538 + ... + 3321878.

Almost surely, 2^129912164928 is an apocalyptic number.

129912164928 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 129912164928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241222837086).

129912164928 is an abundant number, since it is smaller than the sum of its proper divisors (352533509244).

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

129912164928 is a wasteful number, since it uses less digits than its factorization.

129912164928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39392 (or 39366 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The spelling of 129912164928 in words is "one hundred twenty-nine billion, nine hundred twelve million, one hundred sixty-four thousand, nine hundred twenty-eight".