129816090000 has 225 divisors, whose sum is σ = 454363939029. Its totient is φ = 34588800000.

The previous prime is 129816089993. The next prime is 129816090023. The reversal of 129816090000 is 90618921.

The square root of 129816090000 is 360300.

It is a perfect power (a square), and thus also a powerful number.

129816090000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 122301280656 + 7514809344 = 349716^2 + 86688^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 108089400 + ... + 108090600.

Almost surely, 2^129816090000 is an apocalyptic number.

129816090000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

129816090000 is the 360300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129816090000

129816090000 is an abundant number, since it is smaller than the sum of its proper divisors (324547849029).

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

129816090000 is an frugal number, since it uses more digits than its factorization.

129816090000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

Multiplying 129816090000 by its sum of digits (36), we get a square (4673379240000 = 2161800²).

129816090000 divided by its sum of digits (36) gives a square (3606002500 = 60050²).

The spelling of 129816090000 in words is "one hundred twenty-nine billion, eight hundred sixteen million, ninety thousand".