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122211201029 is a prime number
BaseRepresentation
bin111000111010001011…
…0101111000000000101
3102200110002221021001212
41301310112233000011
54000242031413104
6132050522101205
711554336032431
oct1616426570005
9380402837055
10122211201029
1147914045195
121b82834a805
13b6a833b148
145cb4c9b9c1
1532a418636e
hex1c745af005

122211201029 has 2 divisors, whose sum is σ = 122211201030. Its totient is φ = 122211201028.

The previous prime is 122211200983. The next prime is 122211201031. The reversal of 122211201029 is 920102112221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121891756900 + 319444129 = 349130^2 + 17873^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122211201029 is a prime.

Together with 122211201031, 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 = 122211200995 and 122211201013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122211201089) 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, 61105600514 + 61105600515.

It is an arithmetic number, because the mean of its divisors is an integer number (61105600515).

Almost surely, 2122211201029 is an apocalyptic number.

It is an amenable number.

122211201029 is a deficient number, since it is larger than the sum of its proper divisors (1).

122211201029 is an equidigital number, since it uses as much as digits as its factorization.

122211201029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 122211201029 in words is "one hundred twenty-two billion, two hundred eleven million, two hundred one thousand, twenty-nine".