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12000122210113 is a prime number
BaseRepresentation
bin1010111010011111111100…
…0001011000011101000001
31120111012102011001000112221
42232213333001120131001
53033102222241210423
641304440253251041
72345660133540142
oct256477701303501
946435364030487
1012000122210113
1139072501660a4
121419854793a81
136907b6b0b76b
142d6b47d11ac9
1515c23da10e5d
hexae9ff058741

12000122210113 has 2 divisors, whose sum is σ = 12000122210114. Its totient is φ = 12000122210112.

The previous prime is 12000122210099. The next prime is 12000122210129. The reversal of 12000122210113 is 31101222100021.

It is an a-pointer prime, because the next prime (12000122210129) can be obtained adding 12000122210113 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11902582800144 + 97539409969 = 3450012^2 + 312313^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12000122210113 is a prime.

It is not a weakly prime, because it can be changed into another prime (12000122210213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6000061105056 + 6000061105057.

It is an arithmetic number, because the mean of its divisors is an integer number (6000061105057).

Almost surely, 212000122210113 is an apocalyptic number.

It is an amenable number.

12000122210113 is a deficient number, since it is larger than the sum of its proper divisors (1).

12000122210113 is an equidigital number, since it uses as much as digits as its factorization.

12000122210113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 12000122210113 its reverse (31101222100021), we get a palindrome (43101344310134).

The spelling of 12000122210113 in words is "twelve trillion, one hundred twenty-two million, two hundred ten thousand, one hundred thirteen".