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12221200002220 = 225114361101209687
BaseRepresentation
bin1011000111010111100001…
…0010001110110010101100
31121021100001102220111010021
42301311320102032302230
53100213004200032340
641554201453451524
72400644505011116
oct261657022166254
947240042814107
1012221200002220
113991a888824a0
1214546731a0ba4
136a85b9babb71
1430371b4b63b6
15162d7c64be4a
hexb1d7848ecac

12221200002220 has 192 divisors, whose sum is σ = 29406859840512. Its totient is φ = 4227269760000.

The previous prime is 12221200002191. The next prime is 12221200002233. The reversal of 12221200002220 is 2220000212221.

12221200002220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12221200002194 and 12221200002203.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58178217 + ... + 58387903.

It is an arithmetic number, because the mean of its divisors is an integer number (153160728336).

Almost surely, 212221200002220 is an apocalyptic number.

12221200002220 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 12221200002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14703429920256).

12221200002220 is an abundant number, since it is smaller than the sum of its proper divisors (17185659838292).

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

12221200002220 is a wasteful number, since it uses less digits than its factorization.

12221200002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209912 (or 209910 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12221200002220 its reverse (2220000212221), we get a palindrome (14441200214441).

The spelling of 12221200002220 in words is "twelve trillion, two hundred twenty-one billion, two hundred million, two thousand, two hundred twenty".