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12001012000193 is a prime number
BaseRepresentation
bin1010111010100011010000…
…0011101010010111000001
31120111021201011100001002002
42232220310003222113001
53033111033033001233
641305104440433345
72346021156613256
oct256506403522701
946437634301062
1012001012000193
1139076674545a7
121419a62778855
136908c926bb78
142d6bd017142d
1515c291bc26e8
hexaea340ea5c1

12001012000193 has 2 divisors, whose sum is σ = 12001012000194. Its totient is φ = 12001012000192.

The previous prime is 12001012000181. The next prime is 12001012000247. The reversal of 12001012000193 is 39100021010021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11971683040144 + 29328960049 = 3460012^2 + 171257^2 .

It is a cyclic number.

It is not a de Polignac number, because 12001012000193 - 212 = 12001011996097 is a prime.

It is not a weakly prime, because it can be changed into another prime (12001012000163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6000506000096 + 6000506000097.

It is an arithmetic number, because the mean of its divisors is an integer number (6000506000097).

Almost surely, 212001012000193 is an apocalyptic number.

It is an amenable number.

12001012000193 is a deficient number, since it is larger than the sum of its proper divisors (1).

12001012000193 is an equidigital number, since it uses as much as digits as its factorization.

12001012000193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 20.

The spelling of 12001012000193 in words is "twelve trillion, one billion, twelve million, one hundred ninety-three", and thus it is an aban number.