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122211221212957 is a prime number
BaseRepresentation
bin11011110010011010000100…
…011011011000111100011101
3121000201021112010121020202211
4123302122010123120330131
5112004302040112303312
61111531020541320421
734512316663316632
oct3362320433307435
9530637463536684
10122211221212957
1135a38540375608
121185942a866111
1353266129ab396
1422270aa016189
15e1dedac913a7
hex6f26846d8f1d

122211221212957 has 2 divisors, whose sum is σ = 122211221212958. Its totient is φ = 122211221212956.

The previous prime is 122211221212933. The next prime is 122211221212979. The reversal of 122211221212957 is 759212122112221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110236119436921 + 11975101776036 = 10499339^2 + 3460506^2 .

It is a cyclic number.

It is not a de Polignac number, because 122211221212957 - 215 = 122211221180189 is a prime.

It is a super-2 number, since 2×1222112212129572 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122211221219957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61105610606478 + 61105610606479.

It is an arithmetic number, because the mean of its divisors is an integer number (61105610606479).

Almost surely, 2122211221212957 is an apocalyptic number.

It is an amenable number.

122211221212957 is a deficient number, since it is larger than the sum of its proper divisors (1).

122211221212957 is an equidigital number, since it uses as much as digits as its factorization.

122211221212957 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 40320, while the sum is 40.

The spelling of 122211221212957 in words is "one hundred twenty-two trillion, two hundred eleven billion, two hundred twenty-one million, two hundred twelve thousand, nine hundred fifty-seven".