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12002120112149 is a prime number
BaseRepresentation
bin1010111010100111011000…
…0110110001100000010101
31120111101120101102221220122
42232221312012301200111
53033120320222042044
641305410423241325
72346060503453336
oct256516606614025
946441511387818
1012002120112149
1139080859aa502
12141a1118a9245
13690a449ccc0b
142d6c973c228d
1515c30910bdee
hexaea761b1815

12002120112149 has 2 divisors, whose sum is σ = 12002120112150. Its totient is φ = 12002120112148.

The previous prime is 12002120112091. The next prime is 12002120112209. The reversal of 12002120112149 is 94121102120021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10050916221124 + 1951203891025 = 3170318^2 + 1396855^2 .

It is an emirp because it is prime and its reverse (94121102120021) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12002120112149 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12002120112349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6001060056074 + 6001060056075.

It is an arithmetic number, because the mean of its divisors is an integer number (6001060056075).

Almost surely, 212002120112149 is an apocalyptic number.

It is an amenable number.

12002120112149 is a deficient number, since it is larger than the sum of its proper divisors (1).

12002120112149 is an equidigital number, since it uses as much as digits as its factorization.

12002120112149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 26.

The spelling of 12002120112149 in words is "twelve trillion, two billion, one hundred twenty million, one hundred twelve thousand, one hundred forty-nine".