129417006007 has 16 divisors (see below), whose sum is σ = 132124504320. Its totient is φ = 126739013632.

The previous prime is 129417006001. The next prime is 129417006031. The reversal of 129417006007 is 700600714921.

It is a cyclic number.

It is not a de Polignac number, because 129417006007 - 2²⁷ = 129282788279 is a prime.

It is a super-2 number, since 2×129417006007² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129417006001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17062938 + ... + 17070520.

It is an arithmetic number, because the mean of its divisors is an integer number (8257781520).

Almost surely, 2^129417006007 is an apocalyptic number.

129417006007 is a deficient number, since it is larger than the sum of its proper divisors (2707498313).

129417006007 is a wasteful number, since it uses less digits than its factorization.

129417006007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9482.

The product of its (nonzero) digits is 21168, while the sum is 37.

The spelling of 129417006007 in words is "one hundred twenty-nine billion, four hundred seventeen million, six thousand, seven".