130432340142120 has 256 divisors, whose sum is σ = 417181427712000. Its totient is φ = 32528293963776.

The previous prime is 130432340142119. The next prime is 130432340142127. The reversal of 130432340142120 is 21241043234031.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (130432340142127) 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 63 ways as a sum of consecutive naturals, for example, 1033285329 + ... + 1033411551.

It is an arithmetic number, because the mean of its divisors is an integer number (1629614952000).

Almost surely, 2^{130432340142120} is an apocalyptic number.

130432340142120 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 130432340142120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208590713856000).

130432340142120 is an abundant number, since it is smaller than the sum of its proper divisors (286749087569880).

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

130432340142120 is a wasteful number, since it uses less digits than its factorization.

130432340142120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132072 (or 132068 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 130432340142120 its reverse (21241043234031), we get a palindrome (151673383376151).

The spelling of 130432340142120 in words is "one hundred thirty trillion, four hundred thirty-two billion, three hundred forty million, one hundred forty-two thousand, one hundred twenty".