Search a number
-
+
1222112000089 is a prime number
BaseRepresentation
bin10001110010001011100…
…011010011100001011001
311022211111002100002200201
4101302023203103201121
5130010341133000324
62333232553302201
7154203034413421
oct21621343234131
94284432302621
101222112000089
11431327400032
12178a2aa04961
138b3246c2526
1443217101481
1521bcb08e444
hex11c8b8d3859

1222112000089 has 2 divisors, whose sum is σ = 1222112000090. Its totient is φ = 1222112000088.

The previous prime is 1222112000063. The next prime is 1222112000129. The reversal of 1222112000089 is 9800002112221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1170215515225 + 51896484864 = 1081765^2 + 227808^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1222112000089 is a prime.

It is not a weakly prime, because it can be changed into another prime (1222112000789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 611056000044 + 611056000045.

It is an arithmetic number, because the mean of its divisors is an integer number (611056000045).

Almost surely, 21222112000089 is an apocalyptic number.

It is an amenable number.

1222112000089 is a deficient number, since it is larger than the sum of its proper divisors (1).

1222112000089 is an equidigital number, since it uses as much as digits as its factorization.

1222112000089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 28.

The spelling of 1222112000089 in words is "one trillion, two hundred twenty-two billion, one hundred twelve million, eighty-nine", and thus it is an aban number.