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12001221120001 is a prime number
BaseRepresentation
bin1010111010100100000010…
…0001011001000000000001
31120111022020201211102112011
42232221000201121000001
53033112000101320001
641305141310532521
72346026306243101
oct256510041310001
946438221742464
1012001221120001
1139077644a6393
121419b00807141
1369093069a1b9
142d6c0dc49201
1515c2a522dd51
hexaea40859001

12001221120001 has 2 divisors, whose sum is σ = 12001221120002. Its totient is φ = 12001221120000.

The previous prime is 12001221119999. The next prime is 12001221120019. The reversal of 12001221120001 is 10002112210021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11491767782401 + 509453337600 = 3389951^2 + 713760^2 .

It is a cyclic number.

It is not a de Polignac number, because 12001221120001 - 21 = 12001221119999 is a prime.

Together with 12001221119999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (12001221127001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6000610560000 + 6000610560001.

It is an arithmetic number, because the mean of its divisors is an integer number (6000610560001).

Almost surely, 212001221120001 is an apocalyptic number.

It is an amenable number.

12001221120001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12001221120001 is an equidigital number, since it uses as much as digits as its factorization.

12001221120001 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 12001221120001 its reverse (10002112210021), we get a palindrome (22003333330022).

The spelling of 12001221120001 in words is "twelve trillion, one billion, two hundred twenty-one million, one hundred twenty thousand, one".