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12001223012393 is a prime number
BaseRepresentation
bin1010111010100100000010…
…1000100111000000101001
31120111022020212101120101202
42232221000220213000221
53033112001042344033
641305141415253545
72346026331314216
oct256510050470051
946438225346352
1012001223012393
11390776557914a
121419b0137a2b5
13690930bb0664
142d6c101bcb0d
1515c2a54a48e8
hexaea40a27029

12001223012393 has 2 divisors, whose sum is σ = 12001223012394. Its totient is φ = 12001223012392.

The previous prime is 12001223012377. The next prime is 12001223012503. The reversal of 12001223012393 is 39321032210021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11171724662569 + 829498349824 = 3342413^2 + 910768^2 .

It is a cyclic number.

It is not a de Polignac number, because 12001223012393 - 24 = 12001223012377 is a prime.

It is a super-3 number, since 3×120012230123933 (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (12001223012993) 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, 6000611506196 + 6000611506197.

It is an arithmetic number, because the mean of its divisors is an integer number (6000611506197).

Almost surely, 212001223012393 is an apocalyptic number.

It is an amenable number.

12001223012393 is a deficient number, since it is larger than the sum of its proper divisors (1).

12001223012393 is an equidigital number, since it uses as much as digits as its factorization.

12001223012393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 29.

The spelling of 12001223012393 in words is "twelve trillion, one billion, two hundred twenty-three million, twelve thousand, three hundred ninety-three".