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12123132181 is a prime number
BaseRepresentation
bin10110100101001100…
…00101000100010101
31011021212210220221121
423102212011010111
5144312010212211
65322544443541
7606264631456
oct132246050425
934255726847
1012123132181
115161212706
1224240195b1
1311b28172c4
1483011112d
154ae494271
hex2d2985115

12123132181 has 2 divisors, whose sum is σ = 12123132182. Its totient is φ = 12123132180.

The previous prime is 12123132163. The next prime is 12123132223. The reversal of 12123132181 is 18123132121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11058415281 + 1064716900 = 105159^2 + 32630^2 .

It is a cyclic number.

It is not a de Polignac number, because 12123132181 - 27 = 12123132053 is a prime.

It is a super-2 number, since 2×121231321812 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12123132101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6061566090 + 6061566091.

It is an arithmetic number, because the mean of its divisors is an integer number (6061566091).

Almost surely, 212123132181 is an apocalyptic number.

It is an amenable number.

12123132181 is a deficient number, since it is larger than the sum of its proper divisors (1).

12123132181 is an equidigital number, since it uses as much as digits as its factorization.

12123132181 is an evil number, because the sum of its binary digits is even.

The product of its digits is 576, while the sum is 25.

The spelling of 12123132181 in words is "twelve billion, one hundred twenty-three million, one hundred thirty-two thousand, one hundred eighty-one".