Search a number
-
+
12020202000020 = 225601010100001
BaseRepresentation
bin1010111011101010101111…
…0111101100111010010100
31120120010020112201000222102
42232322223313230322110
53033414333203000040
641322000553021232
72350300545123524
oct256725367547224
946503215630872
1012020202000020
113914814732495
1214217193b4818
13692666ba1c56
142d7ad0a47684
1515ca1678d515
hexaeeabdece94

12020202000020 has 12 divisors (see below), whose sum is σ = 25242424200084. Its totient is φ = 4808080800000.

The previous prime is 12020201999999. The next prime is 12020202000029. The reversal of 12020202000020 is 2000020202021.

It can be written as a sum of positive squares in 2 ways, for example, as 7478452824976 + 4541749175044 = 2734676^2 + 2131138^2 .

It is a super-2 number, since 2×120202020000202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12020201999965 and 12020202000010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12020202000029) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 300505049981 + ... + 300505050020.

It is an arithmetic number, because the mean of its divisors is an integer number (2103535350007).

Almost surely, 212020202000020 is an apocalyptic number.

12020202000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12020202000020 is an abundant number, since it is smaller than the sum of its proper divisors (13222222200064).

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

12020202000020 is a wasteful number, since it uses less digits than its factorization.

12020202000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601010100010 (or 601010100008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 12020202000020 its reverse (2000020202021), we get a palindrome (14020222202041).

The spelling of 12020202000020 in words is "twelve trillion, twenty billion, two hundred two million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 601010100001 1202020200002 2404040400004 3005050500005 6010101000010 12020202000020