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12120112181 is a prime number
BaseRepresentation
bin10110100100110101…
…00011110000110101
31011021200010111021202
423102122203300311
5144310222042211
65322400022245
7606230153012
oct132232436065
934250114252
1012120112181
11515a53a741
122423001985
1311b1cca818
1482d966709
154ae09953b
hex2d26a3c35

12120112181 has 2 divisors, whose sum is σ = 12120112182. Its totient is φ = 12120112180.

The previous prime is 12120112171. The next prime is 12120112261. The reversal of 12120112181 is 18121102121.

It is a happy number.

12120112181 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11575823281 + 544288900 = 107591^2 + 23330^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12120112181 is a prime.

It is a super-2 number, since 2×121201121812 (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 (12120112171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6060056090 + 6060056091.

It is an arithmetic number, because the mean of its divisors is an integer number (6060056091).

Almost surely, 212120112181 is an apocalyptic number.

It is an amenable number.

12120112181 is a deficient number, since it is larger than the sum of its proper divisors (1).

12120112181 is an equidigital number, since it uses as much as digits as its factorization.

12120112181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 20.

The spelling of 12120112181 in words is "twelve billion, one hundred twenty million, one hundred twelve thousand, one hundred eighty-one".