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12121214201 is a prime number
BaseRepresentation
bin10110100100111101…
…10000110011111001
31011021202012110222022
423102132300303321
5144311012323301
65322435404225
7606242422625
oct132236606371
934252173868
1012121214201
1151601226a8
122423453675
1311b22c52c5
1482db72185
154ae215d1b
hex2d27b0cf9

12121214201 has 2 divisors, whose sum is σ = 12121214202. Its totient is φ = 12121214200.

The previous prime is 12121214197. The next prime is 12121214233. The reversal of 12121214201 is 10241212121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12107701225 + 13512976 = 110035^2 + 3676^2 .

It is a cyclic number.

It is not a de Polignac number, because 12121214201 - 22 = 12121214197 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12121214201.

It is not a weakly prime, because it can be changed into another prime (12121216201) 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, 6060607100 + 6060607101.

It is an arithmetic number, because the mean of its divisors is an integer number (6060607101).

Almost surely, 212121214201 is an apocalyptic number.

It is an amenable number.

12121214201 is a deficient number, since it is larger than the sum of its proper divisors (1).

12121214201 is an equidigital number, since it uses as much as digits as its factorization.

12121214201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12121214201 its reverse (10241212121), we get a palindrome (22362426322).

The spelling of 12121214201 in words is "twelve billion, one hundred twenty-one million, two hundred fourteen thousand, two hundred one".