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12221000001113 is a prime number
BaseRepresentation
bin1011000111010110110001…
…0111010010011001011001
31121021022112111120101011212
42301311230113102121121
53100212102000013423
641554125551032505
72400636526020401
oct261655427223131
947238474511155
1012221000001113
113991995999722
12145461820b735
136a8587624207
143036dcad3801
15162d69ce2578
hexb1d6c5d2659

12221000001113 has 2 divisors, whose sum is σ = 12221000001114. Its totient is φ = 12221000001112.

The previous prime is 12221000001079. The next prime is 12221000001157. The reversal of 12221000001113 is 31110000012221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6200513346889 + 6020486654224 = 2490083^2 + 2453668^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12221000001113 is a prime.

It is not a weakly prime, because it can be changed into another prime (12221000001193) 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, 6110500000556 + 6110500000557.

It is an arithmetic number, because the mean of its divisors is an integer number (6110500000557).

Almost surely, 212221000001113 is an apocalyptic number.

It is an amenable number.

12221000001113 is a deficient number, since it is larger than the sum of its proper divisors (1).

12221000001113 is an equidigital number, since it uses as much as digits as its factorization.

12221000001113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 12221000001113 its reverse (31110000012221), we get a palindrome (43331000013334).

The spelling of 12221000001113 in words is "twelve trillion, two hundred twenty-one billion, one thousand, one hundred thirteen".