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122112021089 is a prime number
BaseRepresentation
bin111000110111001110…
…0011001001001100001
3102200012012022101202202
41301232130121021201
54000041134133324
6132033020222545
711552023024202
oct1615634311141
9380165271682
10122112021089
11478730638a3
121b7bb09aa55
13b6909239a6
145ca5a415a9
15329a5e48ae
hex1c6e719261

122112021089 has 2 divisors, whose sum is σ = 122112021090. Its totient is φ = 122112021088.

The previous prime is 122112021047. The next prime is 122112021127. The reversal of 122112021089 is 980120211221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82373592064 + 39738429025 = 287008^2 + 199345^2 .

It is a cyclic number.

It is not a de Polignac number, because 122112021089 - 212 = 122112016993 is a prime.

It is a super-2 number, since 2×1221120210892 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122112029089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61056010544 + 61056010545.

It is an arithmetic number, because the mean of its divisors is an integer number (61056010545).

Almost surely, 2122112021089 is an apocalyptic number.

It is an amenable number.

122112021089 is a deficient number, since it is larger than the sum of its proper divisors (1).

122112021089 is an equidigital number, since it uses as much as digits as its factorization.

122112021089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 29.

The spelling of 122112021089 in words is "one hundred twenty-two billion, one hundred twelve million, twenty-one thousand, eighty-nine".