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122895011201 is a prime number
BaseRepresentation
bin111001001110100011…
…1010000110110000001
3102202012202122102021112
41302131013100312001
54003142110324301
6132242430333105
711610311234204
oct1623507206601
9382182572245
10122895011201
1148135036966
121b99935a195
13b786bcc451
145d3ba1d93b
1532e420b9bb
hex1c9d1d0d81

122895011201 has 2 divisors, whose sum is σ = 122895011202. Its totient is φ = 122895011200.

The previous prime is 122895011179. The next prime is 122895011207. The reversal of 122895011201 is 102110598221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92671536400 + 30223474801 = 304420^2 + 173849^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122895011201 is a prime.

It is not a weakly prime, because it can be changed into another prime (122895011207) 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, 61447505600 + 61447505601.

It is an arithmetic number, because the mean of its divisors is an integer number (61447505601).

Almost surely, 2122895011201 is an apocalyptic number.

It is an amenable number.

122895011201 is a deficient number, since it is larger than the sum of its proper divisors (1).

122895011201 is an equidigital number, since it uses as much as digits as its factorization.

122895011201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 32.

The spelling of 122895011201 in words is "one hundred twenty-two billion, eight hundred ninety-five million, eleven thousand, two hundred one".