130412112144000 has 512 divisors, whose sum is σ = 459097161120000. Its totient is φ = 32654632550400.

The previous prime is 130412112143969. The next prime is 130412112144007. The reversal of 130412112144000 is 441211214031.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (130412112144007) 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, 102423276 + ... + 103688724.

Almost surely, 2^{130412112144000} is an apocalyptic number.

130412112144000 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 130412112144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229548580560000).

130412112144000 is an abundant number, since it is smaller than the sum of its proper divisors (328685048976000).

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

130412112144000 is a wasteful number, since it uses less digits than its factorization.

130412112144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265613 (or 1265591 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 130412112144000 its reverse (441211214031), we get a palindrome (130853323358031).

The spelling of 130412112144000 in words is "one hundred thirty trillion, four hundred twelve billion, one hundred twelve million, one hundred forty-four thousand".