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12001111221101 is a prime number
BaseRepresentation
bin1010111010100011100111…
…1110001010001101101101
31120111021222002000222120112
42232220321332022031231
53033111233433033401
641305122343225405
72346023503152122
oct256507176121555
946437862028515
1012001111221101
113907708463752
121419a8ba48265
1369091399bb72
142d6bdd3dc749
1515c29a7713bb
hexaea39f8a36d

12001111221101 has 2 divisors, whose sum is σ = 12001111221102. Its totient is φ = 12001111221100.

The previous prime is 12001111221061. The next prime is 12001111221149. The reversal of 12001111221101 is 10112211110021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10555032820201 + 1446078400900 = 3248851^2 + 1202530^2 .

It is an emirp because it is prime and its reverse (10112211110021) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12001111221101 - 218 = 12001110958957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12001111226101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6000555610550 + 6000555610551.

It is an arithmetic number, because the mean of its divisors is an integer number (6000555610551).

Almost surely, 212001111221101 is an apocalyptic number.

It is an amenable number.

12001111221101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12001111221101 is an equidigital number, since it uses as much as digits as its factorization.

12001111221101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 12001111221101 its reverse (10112211110021), we get a palindrome (22113322331122).

The spelling of 12001111221101 in words is "twelve trillion, one billion, one hundred eleven million, two hundred twenty-one thousand, one hundred one".