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12210122300357 is a prime number
BaseRepresentation
bin1011000110101110010000…
…0000001001101111000101
31121020021110102020220222002
42301223210000021233011
53100022312302102412
641545130332115045
72400103133053202
oct261534400115705
947207412226862
1012210122300357
1139883137a3093
1214524a1305a85
136a7542b4a1a7
14302d8a17aca9
1516292ed5edc2
hexb1ae4009bc5

12210122300357 has 2 divisors, whose sum is σ = 12210122300358. Its totient is φ = 12210122300356.

The previous prime is 12210122300323. The next prime is 12210122300359. The reversal of 12210122300357 is 75300322101221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12177301180801 + 32821119556 = 3489599^2 + 181166^2 .

It is a cyclic number.

It is not a de Polignac number, because 12210122300357 - 220 = 12210121251781 is a prime.

Together with 12210122300359, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12210122300359) 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, 6105061150178 + 6105061150179.

It is an arithmetic number, because the mean of its divisors is an integer number (6105061150179).

Almost surely, 212210122300357 is an apocalyptic number.

It is an amenable number.

12210122300357 is a deficient number, since it is larger than the sum of its proper divisors (1).

12210122300357 is an equidigital number, since it uses as much as digits as its factorization.

12210122300357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 29.

Adding to 12210122300357 its reverse (75300322101221), we get a palindrome (87510444401578).

The spelling of 12210122300357 in words is "twelve trillion, two hundred ten billion, one hundred twenty-two million, three hundred thousand, three hundred fifty-seven".