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122200111021217 is a prime number
BaseRepresentation
bin11011110010001111101110…
…001101010111110010100001
3121000200012211211211000212212
4123302033232031113302201
5112004111311410134332
61111521542255331505
734511444445253235
oct3362175615276241
9530605754730785
10122200111021217
1135a33859a15069
1211857249b20b95
135325561cb2328
1422267346605c5
15e1da8a6d78b2
hex6f23ee357ca1

122200111021217 has 2 divisors, whose sum is σ = 122200111021218. Its totient is φ = 122200111021216.

The previous prime is 122200111021181. The next prime is 122200111021271. The reversal of 122200111021217 is 712120111002221.

Together with next prime (122200111021271) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78426061510801 + 43774049510416 = 8855849^2 + 6616196^2 .

It is a cyclic number.

It is not a de Polignac number, because 122200111021217 - 28 = 122200111020961 is a prime.

It is a super-2 number, since 2×1222001110212172 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122200111021192 and 122200111021201.

It is not a weakly prime, because it can be changed into another prime (122200111021297) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61100055510608 + 61100055510609.

It is an arithmetic number, because the mean of its divisors is an integer number (61100055510609).

Almost surely, 2122200111021217 is an apocalyptic number.

It is an amenable number.

122200111021217 is a deficient number, since it is larger than the sum of its proper divisors (1).

122200111021217 is an equidigital number, since it uses as much as digits as its factorization.

122200111021217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 23.

Adding to 122200111021217 its reverse (712120111002221), we get a palindrome (834320222023438).

The spelling of 122200111021217 in words is "one hundred twenty-two trillion, two hundred billion, one hundred eleven million, twenty-one thousand, two hundred seventeen".