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122111211311 is a prime number
BaseRepresentation
bin111000110111001100…
…1010011011100101111
3102200012010210020221222
41301232121103130233
54000040432230221
6132032551013555
711552013112265
oct1615631233457
9380163706858
10122111211311
1147872660461
121b7ba96a2bb
13b6906cc22b
145ca58b0435
15329a4d49ab
hex1c6e65372f

122111211311 has 2 divisors, whose sum is σ = 122111211312. Its totient is φ = 122111211310.

The previous prime is 122111211251. The next prime is 122111211317. The reversal of 122111211311 is 113112111221.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 122111211311 - 26 = 122111211247 is a prime.

It is a super-2 number, since 2×1221112113112 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122111211311.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122111211317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61055605655 + 61055605656.

It is an arithmetic number, because the mean of its divisors is an integer number (61055605656).

Almost surely, 2122111211311 is an apocalyptic number.

122111211311 is a deficient number, since it is larger than the sum of its proper divisors (1).

122111211311 is an equidigital number, since it uses as much as digits as its factorization.

122111211311 is an evil number, because the sum of its binary digits is even.

The product of its digits is 24, while the sum is 17.

Adding to 122111211311 its reverse (113112111221), we get a palindrome (235223322532).

The spelling of 122111211311 in words is "one hundred twenty-two billion, one hundred eleven million, two hundred eleven thousand, three hundred eleven".