130434442012000 has 288 divisors, whose sum is σ = 394729706419776. Its totient is φ = 42089768448000.

The previous prime is 130434442011997. The next prime is 130434442012001. The reversal of 130434442012000 is 210244434031.

130434442012000 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 (28).

It is a self number, because there is not a number n which added to its sum of digits gives 130434442012000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130434442012001) 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 47 ways as a sum of consecutive naturals, for example, 16240996 + ... + 22904995.

It is an arithmetic number, because the mean of its divisors is an integer number (1370589258402).

Almost surely, 2^{130434442012000} is an apocalyptic number.

130434442012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130434442012000 is an abundant number, since it is smaller than the sum of its proper divisors (264295264407776).

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

130434442012000 is a wasteful number, since it uses less digits than its factorization.

130434442012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39146047 (or 39146022 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 130434442012000 its reverse (210244434031), we get a palindrome (130644686446031).

The spelling of 130434442012000 in words is "one hundred thirty trillion, four hundred thirty-four billion, four hundred forty-two million, twelve thousand".