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122011112017 is a prime number
BaseRepresentation
bin111000110100001101…
…1011101001001010001
3102122221011102200112201
41301220123131021101
53444334321041032
6132015013323201
711546356224514
oct1615033351121
9378834380481
10122011112017
1147821101373
121b791336501
13b675a52492
145c96494d7b
1532918108e7
hex1c686dd251

122011112017 has 2 divisors, whose sum is σ = 122011112018. Its totient is φ = 122011112016.

The previous prime is 122011111979. The next prime is 122011112053. The reversal of 122011112017 is 710211110221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91431245376 + 30579866641 = 302376^2 + 174871^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122011112017 is a prime.

It is a super-2 number, since 2×1220111120172 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122011111985 and 122011112003.

It is not a weakly prime, because it can be changed into another prime (122011112077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61005556008 + 61005556009.

It is an arithmetic number, because the mean of its divisors is an integer number (61005556009).

Almost surely, 2122011112017 is an apocalyptic number.

It is an amenable number.

122011112017 is a deficient number, since it is larger than the sum of its proper divisors (1).

122011112017 is an equidigital number, since it uses as much as digits as its factorization.

122011112017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56, while the sum is 19.

Adding to 122011112017 its reverse (710211110221), we get a palindrome (832222222238).

The spelling of 122011112017 in words is "one hundred twenty-two billion, eleven million, one hundred twelve thousand, seventeen".