129411685800 has 192 divisors, whose sum is σ = 452030889600. Its totient is φ = 34023628800.

The previous prime is 129411685757. The next prime is 129411685811. The reversal of 129411685800 is 8586114921.

It is a happy number.

129411685800 is a `hidden beast` number, since 1 + 2 + 9 + 4 + 1 + 1 + 68 + 580 + 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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214632 + ... + 552168.

It is an arithmetic number, because the mean of its divisors is an integer number (2354327550).

Almost surely, 2^129411685800 is an apocalyptic number.

129411685800 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 129411685800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226015444800).

129411685800 is an abundant number, since it is smaller than the sum of its proper divisors (322619203800).

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

129411685800 is a wasteful number, since it uses less digits than its factorization.

129411685800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337633 (or 337618 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 129411685800 in words is "one hundred twenty-nine billion, four hundred eleven million, six hundred eighty-five thousand, eight hundred".