129942073120 has 384 divisors, whose sum is σ = 355567242240. Its totient is φ = 44564152320.

The previous prime is 129942073117. The next prime is 129942073123. The reversal of 129942073120 is 21370249921.

It is an interprime number because it is at equal distance from previous prime (129942073117) and next prime (129942073123).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (129942073123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 148166122 + ... + 148166998.

It is an arithmetic number, because the mean of its divisors is an integer number (925956360).

Almost surely, 2^129942073120 is an apocalyptic number.

129942073120 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 129942073120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177783621120).

129942073120 is an abundant number, since it is smaller than the sum of its proper divisors (225625169120).

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

129942073120 is a wasteful number, since it uses less digits than its factorization.

129942073120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The spelling of 129942073120 in words is "one hundred twenty-nine billion, nine hundred forty-two million, seventy-three thousand, one hundred twenty".