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12120112001 is a prime number
BaseRepresentation
bin10110100100110101…
…00011101110000001
31011021200010111001002
423102122203232001
5144310222041001
65322400021345
7606230152334
oct132232435601
934250114032
1012120112001
11515a53a598
122423001855
1311b1cca70a
1482d96661b
154ae09946b
hex2d26a3b81

12120112001 has 2 divisors, whose sum is σ = 12120112002. Its totient is φ = 12120112000.

The previous prime is 12120111953. The next prime is 12120112063. The reversal of 12120112001 is 10021102121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10049862001 + 2070250000 = 100249^2 + 45500^2 .

It is an emirp because it is prime and its reverse (10021102121) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12120112001 is a prime.

It is a super-2 number, since 2×121201120012 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (12120112801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6060056000 + 6060056001.

It is an arithmetic number, because the mean of its divisors is an integer number (6060056001).

Almost surely, 212120112001 is an apocalyptic number.

It is an amenable number.

12120112001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12120112001 is an equidigital number, since it uses as much as digits as its factorization.

12120112001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12120112001 its reverse (10021102121), we get a palindrome (22141214122).

The spelling of 12120112001 in words is "twelve billion, one hundred twenty million, one hundred twelve thousand, one".