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12121110110029 is a prime number
BaseRepresentation
bin1011000001100010101001…
…1101100101111101001101
31120220202201000010010222011
42300120222131211331031
53042043013142010104
641440210000021221
72360502256656214
oct260305235457515
946822630103864
1012121110110029
11395359672a028
12143919b301811
1369c02888759b
142dc94453607b
151604705a7904
hexb062a765f4d

12121110110029 has 2 divisors, whose sum is σ = 12121110110030. Its totient is φ = 12121110110028.

The previous prime is 12121110109987. The next prime is 12121110110041. The reversal of 12121110110029 is 92001101112121.

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., 12005185522500 + 115924587529 = 3464850^2 + 340477^2 .

It is a cyclic number.

It is not a de Polignac number, because 12121110110029 - 221 = 12121108012877 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12121110109991 and 12121110110009.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12121110117029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6060555055014 + 6060555055015.

It is an arithmetic number, because the mean of its divisors is an integer number (6060555055015).

Almost surely, 212121110110029 is an apocalyptic number.

It is an amenable number.

12121110110029 is a deficient number, since it is larger than the sum of its proper divisors (1).

12121110110029 is an equidigital number, since it uses as much as digits as its factorization.

12121110110029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 22.

The spelling of 12121110110029 in words is "twelve trillion, one hundred twenty-one billion, one hundred ten million, one hundred ten thousand, twenty-nine".