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121212112001 is a prime number
BaseRepresentation
bin111000011100011001…
…1100000110010000001
3102120212110222021120112
41300320303200302001
53441220300041001
6131403432121105
711520514644431
oct1607063406201
9376773867515
10121212112001
1147451093882
121b5a9836195
13b57935c7c6
145c1c30a2c1
1532465d4cbb
hex1c38ce0c81

121212112001 has 2 divisors, whose sum is σ = 121212112002. Its totient is φ = 121212112000.

The previous prime is 121212111991. The next prime is 121212112019. The reversal of 121212112001 is 100211212121.

Adding to 121212112001 its reverse (100211212121), we get a palindrome (221423324122).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120548534401 + 663577600 = 347201^2 + 25760^2 .

It is a cyclic number.

It is not a de Polignac number, because 121212112001 - 210 = 121212110977 is a prime.

It is not a weakly prime, because it can be changed into another prime (121212112051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60606056000 + 60606056001.

It is an arithmetic number, because the mean of its divisors is an integer number (60606056001).

Almost surely, 2121212112001 is an apocalyptic number.

It is an amenable number.

121212112001 is a deficient number, since it is larger than the sum of its proper divisors (1).

121212112001 is an equidigital number, since it uses as much as digits as its factorization.

121212112001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

The spelling of 121212112001 in words is "one hundred twenty-one billion, two hundred twelve million, one hundred twelve thousand, one".