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122111121311 is a prime number
BaseRepresentation
bin111000110111001100…
…0111101011110011111
3102200012010121200111122
41301232120331132133
54000040421340221
6132032545041155
711552012256014
oct1615630753637
9380163550448
10122111121311
11478725a9883
121b7ba9261bb
13b69069a28a
145ca588970b
15329a4b7eab
hex1c6e63d79f

122111121311 has 2 divisors, whose sum is σ = 122111121312. Its totient is φ = 122111121310.

The previous prime is 122111121217. The next prime is 122111121371. The reversal of 122111121311 is 113121111221.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122111121311 is a prime.

It is a super-2 number, since 2×1221111213112 (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 122111121311.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122111121371) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61055560655 + 61055560656.

It is an arithmetic number, because the mean of its divisors is an integer number (61055560656).

Almost surely, 2122111121311 is an apocalyptic number.

122111121311 is a deficient number, since it is larger than the sum of its proper divisors (1).

122111121311 is an equidigital number, since it uses as much as digits as its factorization.

122111121311 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 122111121311 its reverse (113121111221), we get a palindrome (235232232532).

The spelling of 122111121311 in words is "one hundred twenty-two billion, one hundred eleven million, one hundred twenty-one thousand, three hundred eleven".