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1221122212127 is a prime number
BaseRepresentation
bin10001110001010000100…
…011100100000100011111
311022201221002212122212022
4101301100203210010133
5130001324241242002
62332550434530355
7154136355354266
oct21612043440437
94281832778768
101221122212127
11430969721754
121787b34369bb
138b1c761c58c
14431618915dd
1521b6e228ba2
hex11c508e411f

1221122212127 has 2 divisors, whose sum is σ = 1221122212128. Its totient is φ = 1221122212126.

The previous prime is 1221122212099. The next prime is 1221122212129. The reversal of 1221122212127 is 7212122211221.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1221122212127 - 210 = 1221122211103 is a prime.

It is a super-2 number, since 2×12211222121272 (a number of 25 digits) contains 22 as substring.

Together with 1221122212129, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 1221122212096 and 1221122212105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1221122212129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 610561106063 + 610561106064.

It is an arithmetic number, because the mean of its divisors is an integer number (610561106064).

Almost surely, 21221122212127 is an apocalyptic number.

1221122212127 is a deficient number, since it is larger than the sum of its proper divisors (1).

1221122212127 is an equidigital number, since it uses as much as digits as its factorization.

1221122212127 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 896, while the sum is 26.

Adding to 1221122212127 its reverse (7212122211221), we get a palindrome (8433244423348).

The spelling of 1221122212127 in words is "one trillion, two hundred twenty-one billion, one hundred twenty-two million, two hundred twelve thousand, one hundred twenty-seven".