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12211112124121 is a prime number
BaseRepresentation
bin1011000110110001111100…
…0000000001111011011001
31121020101000101210011220111
42301230133000001323121
53100031324200432441
641545412451324321
72400136512321601
oct261543700017331
947211011704814
1012211112124121
1139887814a6359
1214527188b06a1
136a766cc33521
143030417d9c01
1516298bbd1081
hexb1b1f001ed9

12211112124121 has 2 divisors, whose sum is σ = 12211112124122. Its totient is φ = 12211112124120.

The previous prime is 12211112124037. The next prime is 12211112124149. The reversal of 12211112124121 is 12142121111221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9815287980096 + 2395824144025 = 3132936^2 + 1547845^2 .

It is a cyclic number.

It is not a de Polignac number, because 12211112124121 - 213 = 12211112115929 is a prime.

It is a super-2 number, since 2×122111121241212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12211112124092 and 12211112124101.

It is not a weakly prime, because it can be changed into another prime (12211112124151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105556062060 + 6105556062061.

It is an arithmetic number, because the mean of its divisors is an integer number (6105556062061).

Almost surely, 212211112124121 is an apocalyptic number.

It is an amenable number.

12211112124121 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211112124121 is an equidigital number, since it uses as much as digits as its factorization.

12211112124121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 128, while the sum is 22.

Adding to 12211112124121 its reverse (12142121111221), we get a palindrome (24353233235342).

The spelling of 12211112124121 in words is "twelve trillion, two hundred eleven billion, one hundred twelve million, one hundred twenty-four thousand, one hundred twenty-one".