130320020512224 has 288 divisors, whose sum is σ = 381711561364224. Its totient is φ = 42149427701760.

The previous prime is 130320020512207. The next prime is 130320020512277. The reversal of 130320020512224 is 422215020023031.

130320020512224 is a `hidden beast` number, since 1 + 30 + 3 + 200 + 205 + 1 + 2 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×130320020512224² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1747652989 + ... + 1747727555.

It is an arithmetic number, because the mean of its divisors is an integer number (1325387365848).

Almost surely, 2^{130320020512224} 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 130320020512224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190855780682112).

130320020512224 is an abundant number, since it is smaller than the sum of its proper divisors (251391540852000).

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

130320020512224 is a wasteful number, since it uses less digits than its factorization.

130320020512224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75430 (or 75419 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 130320020512224 its reverse (422215020023031), we get a palindrome (552535040535255).

The spelling of 130320020512224 in words is "one hundred thirty trillion, three hundred twenty billion, twenty million, five hundred twelve thousand, two hundred twenty-four".