20130010120 has 192 divisors, whose sum is σ = 51861222000. Its totient is φ = 7018260480.

The previous prime is 20130010079. The next prime is 20130010139. The reversal of 20130010120 is 2101003102.

It can be written as a sum of positive squares in 8 ways, for example, as 14339104516 + 5790905604 = 119746^2 + 76098^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 20130010097 and 20130010106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24281866 + ... + 24282694.

Almost surely, 2^20130010120 is an apocalyptic number.

20130010120 is a gapful number since it is divisible by the number (20) 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 20130010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25930611000).

20130010120 is an abundant number, since it is smaller than the sum of its proper divisors (31731211880).

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

20130010120 is a wasteful number, since it uses less digits than its factorization.

20130010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 20130010120 its reverse (2101003102), we get a palindrome (22231013222).

The spelling of 20130010120 in words is "twenty billion, one hundred thirty million, ten thousand, one hundred twenty".