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122111912107 is a prime number
BaseRepresentation
bin111000110111001101…
…1111110100010101011
3102200012012002212021101
41301232123332202223
54000041122141412
6132033014022231
711552022061363
oct1615633764253
9380165085241
10122111912107
1147872a99a29
121b7bb047977
13b6908b61c3
145ca5a139a3
15329a5c2457
hex1c6e6fe8ab

122111912107 has 2 divisors, whose sum is σ = 122111912108. Its totient is φ = 122111912106.

The previous prime is 122111912099. The next prime is 122111912129. The reversal of 122111912107 is 701219111221.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 122111912107 - 23 = 122111912099 is a prime.

It is a super-2 number, since 2×1221119121072 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122111912137) 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, 61055956053 + 61055956054.

It is an arithmetic number, because the mean of its divisors is an integer number (61055956054).

Almost surely, 2122111912107 is an apocalyptic number.

122111912107 is a deficient number, since it is larger than the sum of its proper divisors (1).

122111912107 is an equidigital number, since it uses as much as digits as its factorization.

122111912107 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 28.

The spelling of 122111912107 in words is "one hundred twenty-two billion, one hundred eleven million, nine hundred twelve thousand, one hundred seven".