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12123121201 is a prime number
BaseRepresentation
bin10110100101001100…
…00010011000110001
31011021212210100212221
423102212002120301
5144312004334301
65322544321041
7606264554452
oct132246023061
934255710787
1012123121201
115161205434
122424013181
1311b28122c9
1483010b129
154ae490da1
hex2d2982631

12123121201 has 2 divisors, whose sum is σ = 12123121202. Its totient is φ = 12123121200.

The previous prime is 12123121187. The next prime is 12123121289. The reversal of 12123121201 is 10212132121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7534413601 + 4588707600 = 86801^2 + 67740^2 .

It is a cyclic number.

It is not a de Polignac number, because 12123121201 - 29 = 12123120689 is a prime.

It is not a weakly prime, because it can be changed into another prime (12123121301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6061560600 + 6061560601.

It is an arithmetic number, because the mean of its divisors is an integer number (6061560601).

Almost surely, 212123121201 is an apocalyptic number.

It is an amenable number.

12123121201 is a deficient number, since it is larger than the sum of its proper divisors (1).

12123121201 is an equidigital number, since it uses as much as digits as its factorization.

12123121201 is an evil number, because the sum of its binary digits is even.

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

Adding to 12123121201 its reverse (10212132121), we get a palindrome (22335253322).

The spelling of 12123121201 in words is "twelve billion, one hundred twenty-three million, one hundred twenty-one thousand, two hundred one".