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12001021002349 is a prime number
BaseRepresentation
bin1010111010100011010010…
…0110000000001001101101
31120111021201210021101201021
42232220310212000021231
53033111042334033344
641305105401414141
72346021326255521
oct256506446001155
946437653241637
1012001021002349
113907671542aa5
121419a6579a351
136908cb0a14a2
142d6bd1435d81
1515c29289eb84
hexaea3498026d

12001021002349 has 2 divisors, whose sum is σ = 12001021002350. Its totient is φ = 12001021002348.

The previous prime is 12001021002277. The next prime is 12001021002353. The reversal of 12001021002349 is 94320012010021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11503018392100 + 498002610249 = 3391610^2 + 705693^2 .

It is a cyclic number.

It is not a de Polignac number, because 12001021002349 - 211 = 12001021000301 is a prime.

It is a super-3 number, since 3×120010210023493 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12001021000349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6000510501174 + 6000510501175.

It is an arithmetic number, because the mean of its divisors is an integer number (6000510501175).

Almost surely, 212001021002349 is an apocalyptic number.

It is an amenable number.

12001021002349 is a deficient number, since it is larger than the sum of its proper divisors (1).

12001021002349 is an equidigital number, since it uses as much as digits as its factorization.

12001021002349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 25.

The spelling of 12001021002349 in words is "twelve trillion, one billion, twenty-one million, two thousand, three hundred forty-nine".