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12211200201089 is a prime number
BaseRepresentation
bin1011000110110010010001…
…0000000001000110000001
31121020101020112111221210102
42301230210100001012001
53100032014222413324
641545425315212145
72400141632055011
oct261544420010601
947211215457712
1012211200201089
11398881719393a
1214527422a7055
136a7685261086
1430304d3a5c41
151629947ccdae
hexb1b24401181

12211200201089 has 2 divisors, whose sum is σ = 12211200201090. Its totient is φ = 12211200201088.

The previous prime is 12211200201007. The next prime is 12211200201133. The reversal of 12211200201089 is 98010200211221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7434440264689 + 4776759936400 = 2726617^2 + 2185580^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12211200201089 is a prime.

It is a super-2 number, since 2×122112002010892 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12211200204089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105600100544 + 6105600100545.

It is an arithmetic number, because the mean of its divisors is an integer number (6105600100545).

Almost surely, 212211200201089 is an apocalyptic number.

It is an amenable number.

12211200201089 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211200201089 is an equidigital number, since it uses as much as digits as its factorization.

12211200201089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 29.

The spelling of 12211200201089 in words is "twelve trillion, two hundred eleven billion, two hundred million, two hundred one thousand, eighty-nine".