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12120021100193 is a prime number
BaseRepresentation
bin1011000001011110100110…
…0011010110011010100001
31120220122220002221201022112
42300113221203112122201
53042033300400201233
641435505534445105
72360433264355346
oct260275143263241
946818802851275
1012120021100193
113953087a408a6
121438b36663795
1369bbb4084076
142dc87da587cd
15160409b93048
hexb05e98d66a1

12120021100193 has 2 divisors, whose sum is σ = 12120021100194. Its totient is φ = 12120021100192.

The previous prime is 12120021100183. The next prime is 12120021100223. The reversal of 12120021100193 is 39100112002121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11818035681169 + 301985419024 = 3437737^2 + 549532^2 .

It is a cyclic number.

It is not a de Polignac number, because 12120021100193 - 24 = 12120021100177 is a prime.

It is a super-2 number, since 2×121200211001932 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12120021100183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6060010550096 + 6060010550097.

It is an arithmetic number, because the mean of its divisors is an integer number (6060010550097).

Almost surely, 212120021100193 is an apocalyptic number.

It is an amenable number.

12120021100193 is a deficient number, since it is larger than the sum of its proper divisors (1).

12120021100193 is an equidigital number, since it uses as much as digits as its factorization.

12120021100193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 23.

The spelling of 12120021100193 in words is "twelve trillion, one hundred twenty billion, twenty-one million, one hundred thousand, one hundred ninety-three".