129024000000 has 756 divisors, whose sum is σ = 532471153032. Its totient is φ = 29491200000.

The previous prime is 129023999953. The next prime is 129024000019. The reversal of 129024000000 is 420921.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 41 ways as a sum of consecutive naturals, for example, 18431999997 + ... + 18432000003.

It is an arithmetic number, because the mean of its divisors is an integer number (704326922).

Almost surely, 2^129024000000 is an apocalyptic number.

129024000000 is a gapful number since it is divisible by the number (10) 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 129024000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266235576516).

129024000000 is an abundant number, since it is smaller than the sum of its proper divisors (403447153032).

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

129024000000 is an frugal number, since it uses more digits than its factorization.

129024000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 129024000000 its reverse (420921), we get a palindrome (129024420921).

The spelling of 129024000000 in words is "one hundred twenty-nine billion, twenty-four million", and thus it is an aban number.