129252384900 has 432 divisors, whose sum is σ = 440146412160. Its totient is φ = 31614105600.

The previous prime is 129252384893. The next prime is 129252384929. The reversal of 129252384900 is 9483252921.

129252384900 is a `hidden beast` number, since 12 + 9 + 252 + 384 + 9 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 177788337 + ... + 177789063.

Almost surely, 2^129252384900 is an apocalyptic number.

129252384900 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 129252384900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220073206080).

129252384900 is an abundant number, since it is smaller than the sum of its proper divisors (310894027260).

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

129252384900 is a wasteful number, since it uses less digits than its factorization.

129252384900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 129252384900 in words is "one hundred twenty-nine billion, two hundred fifty-two million, three hundred eighty-four thousand, nine hundred".