Search a number
-
+
12221000200000 = 2655292107069
BaseRepresentation
bin1011000111010110110001…
…1000000010111101000000
31121021022112111221111000001
42301311230120002331000
53100212102022400000
641554125555205344
72400636530506264
oct261655430027500
947238474844001
1012221000200000
113991996015099
1214546182a6854
136a85876938b7
143036dcb460a4
15162d69d3146a
hexb1d6c602f40

12221000200000 has 168 divisors, whose sum is σ = 31357120750200. Its totient is φ = 4719832320000.

The previous prime is 12221000199923. The next prime is 12221000200061. The reversal of 12221000200000 is 200012221.

It can be written as a sum of positive squares in 12 ways, for example, as 10802633533696 + 1418366666304 = 3286736^2 + 1190952^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 12221000200000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4746466 + ... + 6853534.

It is an arithmetic number, because the mean of its divisors is an integer number (186649528275).

Almost surely, 212221000200000 is an apocalyptic number.

12221000200000 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 12221000200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15678560375100).

12221000200000 is an abundant number, since it is smaller than the sum of its proper divisors (19136120550200).

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

12221000200000 is an frugal number, since it uses more digits than its factorization.

12221000200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107135 (or 2107105 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12221000200000 its reverse (200012221), we get a palindrome (12221200212221).

The spelling of 12221000200000 in words is "twelve trillion, two hundred twenty-one billion, two hundred thousand".