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12200222120089 is a prime number
BaseRepresentation
bin1011000110001001010111…
…1001111101100010011001
31121012022220110022122202211
42301202111321331202121
53044342023330320324
641540412112555121
72366302606652653
oct261422571754231
947168813278684
1012200222120089
1139840a3367123
121450599852aa1
136a6625a3c463
143026cb39d6d3
15162550b1d294
hexb1895e7d899

12200222120089 has 2 divisors, whose sum is σ = 12200222120090. Its totient is φ = 12200222120088.

The previous prime is 12200222120063. The next prime is 12200222120159. The reversal of 12200222120089 is 98002122200221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7607623108864 + 4592599011225 = 2758192^2 + 2143035^2 .

It is an emirp because it is prime and its reverse (98002122200221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12200222120089 - 27 = 12200222119961 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12200222120089.

It is not a weakly prime, because it can be changed into another prime (12200222120689) 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, 6100111060044 + 6100111060045.

It is an arithmetic number, because the mean of its divisors is an integer number (6100111060045).

Almost surely, 212200222120089 is an apocalyptic number.

It is an amenable number.

12200222120089 is a deficient number, since it is larger than the sum of its proper divisors (1).

12200222120089 is an equidigital number, since it uses as much as digits as its factorization.

12200222120089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 31.

The spelling of 12200222120089 in words is "twelve trillion, two hundred billion, two hundred twenty-two million, one hundred twenty thousand, eighty-nine".