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122201001172049 is a prime number
BaseRepresentation
bin11011110010010000100011…
…010001000001110001010001
3121000200022010212210101021012
4123302100203101001301101
5112004120122300001144
61111522210454340305
734511505504361202
oct3362204321016121
9530608125711235
10122201001172049
1135a3417642a608
121185745805a695
13532567453a9b7
1422267ba9755a9
15e1dadd91ae9e
hex6f2423441c51

122201001172049 has 2 divisors, whose sum is σ = 122201001172050. Its totient is φ = 122201001172048.

The previous prime is 122201001172039. The next prime is 122201001172079. The reversal of 122201001172049 is 940271100102221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107737279437649 + 14463721734400 = 10379657^2 + 3803120^2 .

It is a cyclic number.

It is not a de Polignac number, because 122201001172049 - 236 = 122132281695313 is a prime.

It is a super-2 number, since 2×1222010011720492 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122201001172039) 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, 61100500586024 + 61100500586025.

It is an arithmetic number, because the mean of its divisors is an integer number (61100500586025).

Almost surely, 2122201001172049 is an apocalyptic number.

It is an amenable number.

122201001172049 is a deficient number, since it is larger than the sum of its proper divisors (1).

122201001172049 is an equidigital number, since it uses as much as digits as its factorization.

122201001172049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 32.

The spelling of 122201001172049 in words is "one hundred twenty-two trillion, two hundred one billion, one million, one hundred seventy-two thousand, forty-nine".