129252107209680 has 2880 divisors, whose sum is σ = 603728158924800. Its totient is φ = 25394853335040.

The previous prime is 129252107209663. The next prime is 129252107209681. The reversal of 129252107209680 is 86902701252921.

129252107209680 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 521 + 0 + 7 + 20 + 96 + 8 + 0 = 666.

It is a super-3 number, since 3×129252107209680³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129252107209681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 13881652225 + ... + 13881661535.

It is an arithmetic number, because the mean of its divisors is an integer number (209627832960).

Almost surely, 2^{129252107209680} is an apocalyptic number.

129252107209680 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 129252107209680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301864079462400).

129252107209680 is an abundant number, since it is smaller than the sum of its proper divisors (474476051715120).

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

129252107209680 is a wasteful number, since it uses less digits than its factorization.

129252107209680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9444 (or 9419 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 129252107209680 in words is "one hundred twenty-nine trillion, two hundred fifty-two billion, one hundred seven million, two hundred nine thousand, six hundred eighty".