Search a number
-
+
12220441404121 is a prime number
BaseRepresentation
bin1011000111010100101100…
…0100011010001011011001
31121021021002120110201011101
42301311023010122023121
53100204430444412441
641553554314231401
72400616634021626
oct261651304321331
947237076421141
1012220441404121
11399172964a515
1214544a1125561
136a84c8993952
1430368884734d
15162d35c52231
hexb1d4b11a2d9

12220441404121 has 2 divisors, whose sum is σ = 12220441404122. Its totient is φ = 12220441404120.

The previous prime is 12220441404053. The next prime is 12220441404139. The reversal of 12220441404121 is 12140414402221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7245846459721 + 4974594944400 = 2691811^2 + 2230380^2 .

It is a cyclic number.

It is not a de Polignac number, because 12220441404121 - 27 = 12220441403993 is a prime.

It is a super-2 number, since 2×122204414041212 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12220441404121.

It is not a weakly prime, because it can be changed into another prime (12220441401121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6110220702060 + 6110220702061.

It is an arithmetic number, because the mean of its divisors is an integer number (6110220702061).

Almost surely, 212220441404121 is an apocalyptic number.

It is an amenable number.

12220441404121 is a deficient number, since it is larger than the sum of its proper divisors (1).

12220441404121 is an equidigital number, since it uses as much as digits as its factorization.

12220441404121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 12220441404121 its reverse (12140414402221), we get a palindrome (24360855806342).

The spelling of 12220441404121 in words is "twelve trillion, two hundred twenty billion, four hundred forty-one million, four hundred four thousand, one hundred twenty-one".