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12221011121161 is a prime number
BaseRepresentation
bin1011000111010110110100…
…0001101101010000001001
31121021022120021111100000111
42301311231001231100021
53100212112321334121
641554131025234321
72400640022363353
oct261655501552011
947238507440014
1012221011121161
1139919a11a4347
12145461ba929a1
136a8589a1881b
1430370038a0d3
15162d6ac8c2e1
hexb1d6d06d409

12221011121161 has 2 divisors, whose sum is σ = 12221011121162. Its totient is φ = 12221011121160.

The previous prime is 12221011121101. The next prime is 12221011121171. The reversal of 12221011121161 is 16112111012221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11274525355536 + 946485765625 = 3357756^2 + 972875^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12221011121161 is a prime.

It is a super-2 number, since 2×122210111211612 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12221011121101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6110505560580 + 6110505560581.

It is an arithmetic number, because the mean of its divisors is an integer number (6110505560581).

Almost surely, 212221011121161 is an apocalyptic number.

It is an amenable number.

12221011121161 is a deficient number, since it is larger than the sum of its proper divisors (1).

12221011121161 is an equidigital number, since it uses as much as digits as its factorization.

12221011121161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 22.

Adding to 12221011121161 its reverse (16112111012221), we get a palindrome (28333122133382).

The spelling of 12221011121161 in words is "twelve trillion, two hundred twenty-one billion, eleven million, one hundred twenty-one thousand, one hundred sixty-one".