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122112001177 is a prime number
BaseRepresentation
bin111000110111001110…
…0010100010010011001
3102200012012021101110021
41301232130110102121
54000041133014202
6132033015550441
711552022612145
oct1615634242231
9380165241407
10122112001177
114787304a941
121b7bb08b421
13b6909178ca
145ca5a38225
15329a5dda37
hex1c6e714499

122112001177 has 2 divisors, whose sum is σ = 122112001178. Its totient is φ = 122112001176.

The previous prime is 122112001163. The next prime is 122112001241. The reversal of 122112001177 is 771100211221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102312978496 + 19799022681 = 319864^2 + 140709^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122112001177 is a prime.

It is a super-2 number, since 2×1221120011772 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122112001777) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61056000588 + 61056000589.

It is an arithmetic number, because the mean of its divisors is an integer number (61056000589).

Almost surely, 2122112001177 is an apocalyptic number.

It is an amenable number.

122112001177 is a deficient number, since it is larger than the sum of its proper divisors (1).

122112001177 is an equidigital number, since it uses as much as digits as its factorization.

122112001177 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 392, while the sum is 25.

Adding to 122112001177 its reverse (771100211221), we get a palindrome (893212212398).

The spelling of 122112001177 in words is "one hundred twenty-two billion, one hundred twelve million, one thousand, one hundred seventy-seven".