Search a number
-
+
12120001110101 is a prime number
BaseRepresentation
bin1011000001011110100001…
…0111000110000001010101
31120220122211201100010001202
42300113220113012001111
53042033230241010401
641435503542202245
72360432632430243
oct260275027060125
946818751303052
1012120001110101
113953077727a65
121438b2ba23385
1369bbacba5301
142dc87b133793
1516040804506b
hexb05e85c6055

12120001110101 has 2 divisors, whose sum is σ = 12120001110102. Its totient is φ = 12120001110100.

The previous prime is 12120001110083. The next prime is 12120001110143. The reversal of 12120001110101 is 10101110002121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6889627536100 + 5230373574001 = 2624810^2 + 2287001^2 .

It is a cyclic number.

It is not a de Polignac number, because 12120001110101 - 242 = 7721954598997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12120001118101) 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, 6060000555050 + 6060000555051.

It is an arithmetic number, because the mean of its divisors is an integer number (6060000555051).

Almost surely, 212120001110101 is an apocalyptic number.

It is an amenable number.

12120001110101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12120001110101 is an equidigital number, since it uses as much as digits as its factorization.

12120001110101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 12120001110101 its reverse (10101110002121), we get a palindrome (22221111112222).

The spelling of 12120001110101 in words is "twelve trillion, one hundred twenty billion, one million, one hundred ten thousand, one hundred one".