129113100288 has 624 divisors, whose sum is σ = 414005904000. Its totient is φ = 38634258432.

The previous prime is 129113100241. The next prime is 129113100299. The reversal of 129113100288 is 882001311921.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1450708948 + ... + 1450709036.

It is an arithmetic number, because the mean of its divisors is an integer number (663471000).

Almost surely, 2^129113100288 is an apocalyptic number.

129113100288 is a gapful number since it is divisible by the number (18) 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 129113100288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207002952000).

129113100288 is an abundant number, since it is smaller than the sum of its proper divisors (284892803712).

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

129113100288 is a wasteful number, since it uses less digits than its factorization.

129113100288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 129113100288 in words is "one hundred twenty-nine billion, one hundred thirteen million, one hundred thousand, two hundred eighty-eight".