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12002112202177 is a prime number
BaseRepresentation
bin1010111010100111010110…
…1000100110010111000001
31120111101112211120002110201
42232221311220212113001
53033120311210432202
641305405541525201
72346060346310236
oct256516550462701
946441484502421
1012002112202177
113908081497639
12141a10b113801
13690a43190766
142d6c9632378d
1515c308598387
hexaea75a265c1

12002112202177 has 2 divisors, whose sum is σ = 12002112202178. Its totient is φ = 12002112202176.

The previous prime is 12002112202147. The next prime is 12002112202229. The reversal of 12002112202177 is 77120221120021.

12002112202177 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11936776241296 + 65335960881 = 3454964^2 + 255609^2 .

It is an emirp because it is prime and its reverse (77120221120021) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12002112202177 - 215 = 12002112169409 is a prime.

It is not a weakly prime, because it can be changed into another prime (12002112202147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6001056101088 + 6001056101089.

It is an arithmetic number, because the mean of its divisors is an integer number (6001056101089).

Almost surely, 212002112202177 is an apocalyptic number.

It is an amenable number.

12002112202177 is a deficient number, since it is larger than the sum of its proper divisors (1).

12002112202177 is an equidigital number, since it uses as much as digits as its factorization.

12002112202177 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1568, while the sum is 28.

Adding to 12002112202177 its reverse (77120221120021), we get a palindrome (89122333322198).

The spelling of 12002112202177 in words is "twelve trillion, two billion, one hundred twelve million, two hundred two thousand, one hundred seventy-seven".