Search a number
-
+
12211200222061 is a prime number
BaseRepresentation
bin1011000110110010010001…
…0000000110001101101101
31121020101020112120000120011
42301230210100012031231
53100032014224101221
641545425315453221
72400141632203111
oct261544420061555
947211215500504
1012211200222061
1139888171a8675
1214527422b7211
136a768526a799
1430304d3ad741
151629947d41e1
hexb1b2440636d

12211200222061 has 2 divisors, whose sum is σ = 12211200222062. Its totient is φ = 12211200222060.

The previous prime is 12211200222047. The next prime is 12211200222103. The reversal of 12211200222061 is 16022200211221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12183806661961 + 27393560100 = 3490531^2 + 165510^2 .

It is a cyclic number.

It is not a de Polignac number, because 12211200222061 - 219 = 12211199697773 is a prime.

It is a super-2 number, since 2×122112002220612 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12211200225061) by changing a digit.

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 as a sum of consecutive naturals, namely, 6105600111030 + 6105600111031.

It is an arithmetic number, because the mean of its divisors is an integer number (6105600111031).

Almost surely, 212211200222061 is an apocalyptic number.

It is an amenable number.

12211200222061 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211200222061 is an equidigital number, since it uses as much as digits as its factorization.

12211200222061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 12211200222061 its reverse (16022200211221), we get a palindrome (28233400433282).

The spelling of 12211200222061 in words is "twelve trillion, two hundred eleven billion, two hundred million, two hundred twenty-two thousand, sixty-one".