129641668072 has 384 divisors, whose sum is σ = 321490944000. Its totient is φ = 48618662400.

The previous prime is 129641668033. The next prime is 129641668111. The reversal of 129641668072 is 270866146921.

It is an interprime number because it is at equal distance from previous prime (129641668033) and next prime (129641668111).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1020800473 + ... + 1020800599.

It is an arithmetic number, because the mean of its divisors is an integer number (837216000).

Almost surely, 2^129641668072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129641668072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160745472000).

129641668072 is an abundant number, since it is smaller than the sum of its proper divisors (191849275928).

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

129641668072 is a wasteful number, since it uses less digits than its factorization.

129641668072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 52.

The spelling of 129641668072 in words is "one hundred twenty-nine billion, six hundred forty-one million, six hundred sixty-eight thousand, seventy-two".