129252840000000 has 1280 divisors, whose sum is σ = 453002421560832. Its totient is φ = 32707584000000.

The previous prime is 129252839999993. The next prime is 129252840000001. The reversal of 129252840000000 is 48252921.

It is a tau number, because it is divible by the number of its divisors (1280).

It is not an unprimeable number, because it can be changed into a prime (129252840000001) 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 127 ways as a sum of consecutive naturals, for example, 190919999662 + ... + 190920000338.

Almost surely, 2^{129252840000000} is an apocalyptic number.

129252840000000 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 129252840000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226501210780416).

129252840000000 is an abundant number, since it is smaller than the sum of its proper divisors (323749581560832).

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

129252840000000 is an frugal number, since it uses more digits than its factorization.

129252840000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

Adding to 129252840000000 its reverse (48252921), we get a palindrome (129252888252921).

The spelling of 129252840000000 in words is "one hundred twenty-nine trillion, two hundred fifty-two billion, eight hundred forty million", and thus it is an aban number.