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121272121 is a prime number
BaseRepresentation
bin1110011101001…
…11011100111001
322110012021002001
413032213130321
5222021201441
620011141001
73001540015
oct716473471
9273167061
10121272121
11625005a3
1234744761
131c180c69
141216b545
15a9a7731
hex73a7739

121272121 has 2 divisors, whose sum is σ = 121272122. Its totient is φ = 121272120.

The previous prime is 121272059. The next prime is 121272127.

121272121 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106915600 + 14356521 = 10340^2 + 3789^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 121272121 - 211 = 121270073 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is not a weakly prime, because it can be changed into another prime (121272127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60636060 + 60636061.

It is an arithmetic number, because the mean of its divisors is an integer number (60636061).

Almost surely, 2121272121 is an apocalyptic number.

It is an amenable number.

121272121 is a deficient number, since it is larger than the sum of its proper divisors (1).

121272121 is an equidigital number, since it uses as much as digits as its factorization.

121272121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 112, while the sum is 19.

The square root of 121272121 is about 11012.3621898301. The cubic root of 121272121 is about 494.9792475060.

The spelling of 121272121 in words is "one hundred twenty-one million, two hundred seventy-two thousand, one hundred twenty-one".