Search a number
-
+
12122211111001 is a prime number
BaseRepresentation
bin1011000001100110110000…
…0101100101000001011001
31120220212112201211210100221
42300121230011211001121
53042102242021023001
641440511130200041
72360541456221455
oct260315405450131
946825481753327
1012122211111001
113954001168392
121439447b83021
1369c1729c8a54
142dca0a855665
151604d708a1a1
hexb066c165059

12122211111001 has 2 divisors, whose sum is σ = 12122211111002. Its totient is φ = 12122211111000.

The previous prime is 12122211110993. The next prime is 12122211111079. The reversal of 12122211111001 is 10011111222121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6522527797776 + 5599683313225 = 2553924^2 + 2366365^2 .

It is a cyclic number.

It is not a de Polignac number, because 12122211111001 - 23 = 12122211110993 is a prime.

It is not a weakly prime, because it can be changed into another prime (12122211111401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6061105555500 + 6061105555501.

It is an arithmetic number, because the mean of its divisors is an integer number (6061105555501).

Almost surely, 212122211111001 is an apocalyptic number.

It is an amenable number.

12122211111001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122211111001 is an equidigital number, since it uses as much as digits as its factorization.

12122211111001 is an evil number, because the sum of its binary digits is even.

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

Adding to 12122211111001 its reverse (10011111222121), we get a palindrome (22133322333122).

The spelling of 12122211111001 in words is "twelve trillion, one hundred twenty-two billion, two hundred eleven million, one hundred eleven thousand, one".