130205121520 has 80 divisors (see below), whose sum is σ = 316644733440. Its totient is φ = 49698420992.

The previous prime is 130205121517. The next prime is 130205121547. The reversal of 130205121520 is 25121502031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×130205121520² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130205121491 and 130205121500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 686517 + ... + 855403.

It is an arithmetic number, because the mean of its divisors is an integer number (3958059168).

Almost surely, 2^130205121520 is an apocalyptic number.

130205121520 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 130205121520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158322366720).

130205121520 is an abundant number, since it is smaller than the sum of its proper divisors (186439611920).

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

130205121520 is a wasteful number, since it uses less digits than its factorization.

130205121520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169342 (or 169336 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

Adding to 130205121520 its reverse (25121502031), we get a palindrome (155326623551).

The spelling of 130205121520 in words is "one hundred thirty billion, two hundred five million, one hundred twenty-one thousand, five hundred twenty".