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12123111029 is a prime number
BaseRepresentation
bin10110100101001011…
…11111111001110101
31011021212202211221012
423102211333321311
5144312004023104
65322544202005
7606264513011
oct132245777165
934255684835
1012123111029
1151611a8827
122424009305
1311b280a7a3
14830107541
154ae48cd6e
hex2d297fe75

12123111029 has 2 divisors, whose sum is σ = 12123111030. Its totient is φ = 12123111028.

The previous prime is 12123111001. The next prime is 12123111041. The reversal of 12123111029 is 92011132121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12123111025 + 4 = 110105^2 + 2^2 .

It is a cyclic number.

It is not a de Polignac number, because 12123111029 - 28 = 12123110773 is a prime.

It is a super-2 number, since 2×121231110292 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12123110995 and 12123111013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12123111079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6061555514 + 6061555515.

It is an arithmetic number, because the mean of its divisors is an integer number (6061555515).

Almost surely, 212123111029 is an apocalyptic number.

It is an amenable number.

12123111029 is a deficient number, since it is larger than the sum of its proper divisors (1).

12123111029 is an equidigital number, since it uses as much as digits as its factorization.

12123111029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 23.

The spelling of 12123111029 in words is "twelve billion, one hundred twenty-three million, one hundred eleven thousand, twenty-nine".