130144206450412 has 192 divisors, whose sum is σ = 287018503833600. Its totient is φ = 50161047552000.

The previous prime is 130144206450397. The next prime is 130144206450431. The reversal of 130144206450412 is 214054602441031.

It is a super-2 number, since 2×130144206450412² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25513466662 + ... + 25513471762.

It is an arithmetic number, because the mean of its divisors is an integer number (1494888040800).

Almost surely, 2^{130144206450412} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130144206450412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143509251916800).

130144206450412 is an abundant number, since it is smaller than the sum of its proper divisors (156874297383188).

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

130144206450412 is a wasteful number, since it uses less digits than its factorization.

130144206450412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7632 (or 7630 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

Adding to 130144206450412 its reverse (214054602441031), we get a palindrome (344198808891443).

The spelling of 130144206450412 in words is "one hundred thirty trillion, one hundred forty-four billion, two hundred six million, four hundred fifty thousand, four hundred twelve".