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12001221120113 is a prime number
BaseRepresentation
bin1010111010100100000010…
…0001011001000001110001
31120111022020201211102200022
42232221000201121001301
53033112000101320423
641305141310533225
72346026306243321
oct256510041310161
946438221742608
1012001221120113
1139077644a6485
121419b00807215
1369093069a274
142d6c0dc49281
1515c2a522ddc8
hexaea40859071

12001221120113 has 2 divisors, whose sum is σ = 12001221120114. Its totient is φ = 12001221120112.

The previous prime is 12001221120019. The next prime is 12001221120157. The reversal of 12001221120113 is 31102112210021.

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., 9681911426929 + 2319309693184 = 3111577^2 + 1522928^2 .

It is a cyclic number.

It is not a de Polignac number, because 12001221120113 - 222 = 12001216925809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12001221120091 and 12001221120100.

It is not a weakly prime, because it can be changed into another prime (12001221120313) 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, 6000610560056 + 6000610560057.

It is an arithmetic number, because the mean of its divisors is an integer number (6000610560057).

Almost surely, 212001221120113 is an apocalyptic number.

It is an amenable number.

12001221120113 is a deficient number, since it is larger than the sum of its proper divisors (1).

12001221120113 is an equidigital number, since it uses as much as digits as its factorization.

12001221120113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 12001221120113 its reverse (31102112210021), we get a palindrome (43103333330134).

The spelling of 12001221120113 in words is "twelve trillion, one billion, two hundred twenty-one million, one hundred twenty thousand, one hundred thirteen".