129443142192 has 640 divisors, whose sum is σ = 449251246080. Its totient is φ = 31179202560.

The previous prime is 129443142187. The next prime is 129443142197. The reversal of 129443142192 is 291241344921.

It is an interprime number because it is at equal distance from previous prime (129443142187) and next prime (129443142197).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (129443142197) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 277179943 + ... + 277180409.

It is an arithmetic number, because the mean of its divisors is an integer number (701955072).

Almost surely, 2^129443142192 is an apocalyptic number.

129443142192 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 129443142192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224625623040).

129443142192 is an abundant number, since it is smaller than the sum of its proper divisors (319808103888).

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

129443142192 is a wasteful number, since it uses less digits than its factorization.

129443142192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 635 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The spelling of 129443142192 in words is "one hundred twenty-nine billion, four hundred forty-three million, one hundred forty-two thousand, one hundred ninety-two".