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12102211001249 is a prime number
BaseRepresentation
bin1011000000011100001111…
…1111001101101110100001
31120211221220220002221120022
42300013003333031232201
53041240312004014444
641423402354323225
72356233033126545
oct260070377155641
946757826087508
1012102211001249
113946578673966
1214355a5b89515
1369a3062b3195
142dba70541a25
1515ec162eb9ee
hexb01c3fcdba1

12102211001249 has 2 divisors, whose sum is σ = 12102211001250. Its totient is φ = 12102211001248.

The previous prime is 12102211001189. The next prime is 12102211001267. The reversal of 12102211001249 is 94210011220121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9725310442849 + 2376900558400 = 3118543^2 + 1541720^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12102211001249 is a prime.

It is a super-2 number, since 2×121022110012492 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12102211021249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6051105500624 + 6051105500625.

It is an arithmetic number, because the mean of its divisors is an integer number (6051105500625).

Almost surely, 212102211001249 is an apocalyptic number.

It is an amenable number.

12102211001249 is a deficient number, since it is larger than the sum of its proper divisors (1).

12102211001249 is an equidigital number, since it uses as much as digits as its factorization.

12102211001249 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 12102211001249 in words is "twelve trillion, one hundred two billion, two hundred eleven million, one thousand, two hundred forty-nine".