Search a number
-
+
12211220320097 is a prime number
BaseRepresentation
bin1011000110110010010101…
…1100110000111101100001
31121020101021221101002212212
42301230211130300331201
53100032034400220342
641545431314331505
72400142265061011
oct261544534607541
947211257332785
1012211220320097
113988827585617
121452748b89b95
136a7689486706
14303051d21c41
15162996454182
hexb1b25730f61

12211220320097 has 2 divisors, whose sum is σ = 12211220320098. Its totient is φ = 12211220320096.

The previous prime is 12211220320003. The next prime is 12211220320141. The reversal of 12211220320097 is 79002302211221.

12211220320097 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9334638109696 + 2876582210401 = 3055264^2 + 1696049^2 .

It is an emirp because it is prime and its reverse (79002302211221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12211220320097 - 28 = 12211220319841 is a prime.

It is a super-2 number, since 2×122112203200972 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12211220350097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105610160048 + 6105610160049.

It is an arithmetic number, because the mean of its divisors is an integer number (6105610160049).

Almost surely, 212211220320097 is an apocalyptic number.

It is an amenable number.

12211220320097 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211220320097 is an equidigital number, since it uses as much as digits as its factorization.

12211220320097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6048, while the sum is 32.

The spelling of 12211220320097 in words is "twelve trillion, two hundred eleven billion, two hundred twenty million, three hundred twenty thousand, ninety-seven".