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12123003022201 is a prime number
BaseRepresentation
bin1011000001101001101101…
…0010011110101101111001
31120220221120220222001022101
42300122123102132231321
53042110402233202301
641441121455423401
72360600213315461
oct260323322365571
946827526861271
1012123003022201
113954378183a55
121439629224b61
1369c26aaa8c66
142dca83ab6ba1
15160531865701
hexb069b49eb79

12123003022201 has 2 divisors, whose sum is σ = 12123003022202. Its totient is φ = 12123003022200.

The previous prime is 12123003022199. The next prime is 12123003022241. The reversal of 12123003022201 is 10222030032121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11743917763600 + 379085258601 = 3426940^2 + 615699^2 .

It is a cyclic number.

It is not a de Polignac number, because 12123003022201 - 21 = 12123003022199 is a prime.

Together with 12123003022199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (12123003022241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6061501511100 + 6061501511101.

It is an arithmetic number, because the mean of its divisors is an integer number (6061501511101).

Almost surely, 212123003022201 is an apocalyptic number.

It is an amenable number.

12123003022201 is a deficient number, since it is larger than the sum of its proper divisors (1).

12123003022201 is an equidigital number, since it uses as much as digits as its factorization.

12123003022201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 12123003022201 its reverse (10222030032121), we get a palindrome (22345033054322).

The spelling of 12123003022201 in words is "twelve trillion, one hundred twenty-three billion, three million, twenty-two thousand, two hundred one".