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122111309977 is a prime number
BaseRepresentation
bin111000110111001100…
…1101011100010011001
3102200012010222021022021
41301232121223202121
54000040443404402
6132032553054441
711552014003036
oct1615631534231
9380163867267
10122111309977
11478727185a8
121b7ba9b7421
13b690735107
145ca58d838d
15329a503d37
hex1c6e66b899

122111309977 has 2 divisors, whose sum is σ = 122111309978. Its totient is φ = 122111309976.

The previous prime is 122111309951. The next prime is 122111310011. The reversal of 122111309977 is 779903111221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64000904256 + 58110405721 = 252984^2 + 241061^2 .

It is a cyclic number.

It is not a de Polignac number, because 122111309977 - 219 = 122110785689 is a prime.

It is a super-2 number, since 2×1221113099772 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122111309377) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61055654988 + 61055654989.

It is an arithmetic number, because the mean of its divisors is an integer number (61055654989).

Almost surely, 2122111309977 is an apocalyptic number.

It is an amenable number.

122111309977 is a deficient number, since it is larger than the sum of its proper divisors (1).

122111309977 is an equidigital number, since it uses as much as digits as its factorization.

122111309977 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 47628, while the sum is 43.

The spelling of 122111309977 in words is "one hundred twenty-two billion, one hundred eleven million, three hundred nine thousand, nine hundred seventy-seven".