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121212000121 is a prime number
BaseRepresentation
bin111000011100011001…
…1000101011101111001
3102120212110202121002211
41300320303011131321
53441220233000441
6131403425455121
711520514000312
oct1607063053571
9376773677084
10121212000121
1147451017813
121b5a97a14a1
13b5793208c4
145c1c2bb609
1532465b1a81
hex1c38cc5779

121212000121 has 2 divisors, whose sum is σ = 121212000122. Its totient is φ = 121212000120.

The previous prime is 121212000097. The next prime is 121212000137. The reversal of 121212000121 is 121000212121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 119673791721 + 1538208400 = 345939^2 + 39220^2 .

It is a cyclic number.

It is not a de Polignac number, because 121212000121 - 221 = 121209902969 is a prime.

It is a super-3 number, since 3×1212120001213 (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (121212000181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60606000060 + 60606000061.

It is an arithmetic number, because the mean of its divisors is an integer number (60606000061).

Almost surely, 2121212000121 is an apocalyptic number.

It is an amenable number.

121212000121 is a deficient number, since it is larger than the sum of its proper divisors (1).

121212000121 is an equidigital number, since it uses as much as digits as its factorization.

121212000121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 121212000121 its reverse (121000212121), we get a palindrome (242212212242).

It can be divided in two parts, 121212000 and 121, that added together give a palindrome (121212121).

The spelling of 121212000121 in words is "one hundred twenty-one billion, two hundred twelve million, one hundred twenty-one", and thus it is an aban number.