129385734912 has 432 divisors, whose sum is σ = 452980749312. Its totient is φ = 36060733440.

The previous prime is 129385734889. The next prime is 129385734917. The reversal of 129385734912 is 219437583921.

129385734912 is a `hidden beast` number, since 1 + 2 + 9 + 3 + 85 + 73 + 491 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (129385734917) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17850073 + ... + 17857319.

Almost surely, 2^129385734912 is an apocalyptic number.

129385734912 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 129385734912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226490374656).

129385734912 is an abundant number, since it is smaller than the sum of its proper divisors (323595014400).

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

129385734912 is an frugal number, since it uses more digits than its factorization.

129385734912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7326 (or 7300 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 129385734912 in words is "one hundred twenty-nine billion, three hundred eighty-five million, seven hundred thirty-four thousand, nine hundred twelve".