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122112021127 is a prime number
BaseRepresentation
bin111000110111001110…
…0011001001010000111
3102200012012022101211011
41301232130121022013
54000041134134002
6132033020223051
711552023024255
oct1615634311207
9380165271734
10122112021127
1147873063928
121b7bb09aa87
13b690923a05
145ca5a415d5
15329a5e48d7
hex1c6e719287

122112021127 has 2 divisors, whose sum is σ = 122112021128. Its totient is φ = 122112021126.

The previous prime is 122112021089. The next prime is 122112021133. The reversal of 122112021127 is 721120211221.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 122112021127 - 215 = 122111988359 is a prime.

It is a super-2 number, since 2×1221120211272 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122112021098 and 122112021107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122112027127) 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, 61056010563 + 61056010564.

It is an arithmetic number, because the mean of its divisors is an integer number (61056010564).

Almost surely, 2122112021127 is an apocalyptic number.

122112021127 is a deficient number, since it is larger than the sum of its proper divisors (1).

122112021127 is an equidigital number, since it uses as much as digits as its factorization.

122112021127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 22.

Adding to 122112021127 its reverse (721120211221), we get a palindrome (843232232348).

The spelling of 122112021127 in words is "one hundred twenty-two billion, one hundred twelve million, twenty-one thousand, one hundred twenty-seven".