129431820672 has 1920 divisors, whose sum is σ = 547036934400. Its totient is φ = 29889699840.

The previous prime is 129431820667. The next prime is 129431820697. The reversal of 129431820672 is 276028134921.

129431820672 is a `hidden beast` number, since 1 + 2 + 9 + 431 + 8 + 206 + 7 + 2 = 666.

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 2442109798 + ... + 2442109850.

It is an arithmetic number, because the mean of its divisors is an integer number (284915070).

Almost surely, 2^129431820672 is an apocalyptic number.

129431820672 is a gapful number since it is divisible by the number (12) 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 129431820672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273518467200).

129431820672 is an abundant number, since it is smaller than the sum of its proper divisors (417605113728).

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

129431820672 is a wasteful number, since it uses less digits than its factorization.

129431820672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 129431820672 in words is "one hundred twenty-nine billion, four hundred thirty-one million, eight hundred twenty thousand, six hundred seventy-two".