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122012313121 is a prime number
BaseRepresentation
bin111000110100010000…
…0000010011000100001
3102122221020200201011001
41301220200002120201
53444340123004441
6132015055152001
711546402356336
oct1615040023041
9378836621131
10122012313121
1147821851816
121b791815601
13b6760830aa
145c966c898d
15329199b731
hex1c68802621

122012313121 has 2 divisors, whose sum is σ = 122012313122. Its totient is φ = 122012313120.

The previous prime is 122012313119. The next prime is 122012313131. The reversal of 122012313121 is 121313210221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104704016400 + 17308296721 = 323580^2 + 131561^2 .

It is a cyclic number.

It is not a de Polignac number, because 122012313121 - 21 = 122012313119 is a prime.

Together with 122012313119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (122012313131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61006156560 + 61006156561.

It is an arithmetic number, because the mean of its divisors is an integer number (61006156561).

Almost surely, 2122012313121 is an apocalyptic number.

It is an amenable number.

122012313121 is a deficient number, since it is larger than the sum of its proper divisors (1).

122012313121 is an equidigital number, since it uses as much as digits as its factorization.

122012313121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 122012313121 its reverse (121313210221), we get a palindrome (243325523342).

The spelling of 122012313121 in words is "one hundred twenty-two billion, twelve million, three hundred thirteen thousand, one hundred twenty-one".