129065723991072 has 144 divisors (see below), whose sum is σ = 405221137540128. Its totient is φ = 38639610608640.

The previous prime is 129065723991041. The next prime is 129065723991079. The reversal of 129065723991072 is 270199327560921.

129065723991072 is a `hidden beast` number, since 1 + 2 + 90 + 6 + 57 + 2 + 399 + 107 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×129065723991072² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (129065723991079) 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 23 ways as a sum of consecutive naturals, for example, 245161413 + ... + 245687300.

It is an arithmetic number, because the mean of its divisors is an integer number (2814035677362).

Almost surely, 2^{129065723991072} is an apocalyptic number.

129065723991072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

129065723991072 is an abundant number, since it is smaller than the sum of its proper divisors (276155413549056).

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

129065723991072 is a wasteful number, since it uses less digits than its factorization.

129065723991072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490848823 (or 490848812 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 63.

The spelling of 129065723991072 in words is "one hundred twenty-nine trillion, sixty-five billion, seven hundred twenty-three million, nine hundred ninety-one thousand, seventy-two".