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1222122000181 is a prime number
BaseRepresentation
bin10001110010001100001…
…001011100111100110101
311022211111210011011020111
4101302030021130330311
5130010401213001211
62333233551503021
7154203215413255
oct21621411347465
94284453134214
101222122000181
11431332010275
12178a32227a71
138b3267b4144
1443218585965
1521bcbdb7421
hex11c8c25cf35

1222122000181 has 2 divisors, whose sum is σ = 1222122000182. Its totient is φ = 1222122000180.

The previous prime is 1222122000179. The next prime is 1222122000217. The reversal of 1222122000181 is 1810002212221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1210019800081 + 12102200100 = 1100009^2 + 110010^2 .

It is a cyclic number.

It is not a de Polignac number, because 1222122000181 - 21 = 1222122000179 is a prime.

It is a super-2 number, since 2×12221220001812 (a number of 25 digits) contains 22 as substring.

Together with 1222122000179, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1222122000581) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 611061000090 + 611061000091.

It is an arithmetic number, because the mean of its divisors is an integer number (611061000091).

Almost surely, 21222122000181 is an apocalyptic number.

It is an amenable number.

1222122000181 is a deficient number, since it is larger than the sum of its proper divisors (1).

1222122000181 is an equidigital number, since it uses as much as digits as its factorization.

1222122000181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 256, while the sum is 22.

The spelling of 1222122000181 in words is "one trillion, two hundred twenty-two billion, one hundred twenty-two million, one hundred eighty-one", and thus it is an aban number.