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12121022020193 is a prime number
BaseRepresentation
bin1011000001100010010100…
…1101100011101001100001
31120220202110212100201102122
42300120211031203221201
53042042323114121233
641440153131554025
72360500140140432
oct260304515435141
946822425321378
1012121022020193
113953550a32909
1214391758bb915
1369c013553c18
142dc936965489
151604679a6d98
hexb0625363a61

12121022020193 has 2 divisors, whose sum is σ = 12121022020194. Its totient is φ = 12121022020192.

The previous prime is 12121022020189. The next prime is 12121022020291. The reversal of 12121022020193 is 39102022012121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8158661057569 + 3962360962624 = 2856337^2 + 1990568^2 .

It is a cyclic number.

It is not a de Polignac number, because 12121022020193 - 22 = 12121022020189 is a prime.

It is not a weakly prime, because it can be changed into another prime (12121022023193) 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, 6060511010096 + 6060511010097.

It is an arithmetic number, because the mean of its divisors is an integer number (6060511010097).

Almost surely, 212121022020193 is an apocalyptic number.

It is an amenable number.

12121022020193 is a deficient number, since it is larger than the sum of its proper divisors (1).

12121022020193 is an equidigital number, since it uses as much as digits as its factorization.

12121022020193 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 26.

The spelling of 12121022020193 in words is "twelve trillion, one hundred twenty-one billion, twenty-two million, twenty thousand, one hundred ninety-three".