130434120110112 has 192 divisors, whose sum is σ = 430368554778624. Its totient is φ = 33668288087040.

The previous prime is 130434120110071. The next prime is 130434120110137. The reversal of 130434120110112 is 211011021434031.

130434120110112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 158426064 + ... + 159247247.

It is an arithmetic number, because the mean of its divisors is an integer number (2241502889472).

Almost surely, 2^{130434120110112} is an apocalyptic number.

130434120110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130434120110112 is an abundant number, since it is smaller than the sum of its proper divisors (299934434668512).

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

130434120110112 is a wasteful number, since it uses less digits than its factorization.

130434120110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317673391 (or 317673383 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 130434120110112 its reverse (211011021434031), we get a palindrome (341445141544143).

The spelling of 130434120110112 in words is "one hundred thirty trillion, four hundred thirty-four billion, one hundred twenty million, one hundred ten thousand, one hundred twelve".