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122212132121 = 349409856181
BaseRepresentation
bin111000111010001101…
…0010010010100011001
3102200110011200120021202
41301310122102110121
54000242301211441
6132050554043545
711554346661122
oct1616432222431
9380404616252
10122212132121
1147914620792
121b8287195b5
13b6a85a5ba1
145cb5061049
1532a42bc19b
hex1c74692519

122212132121 has 8 divisors (see below), whose sum is σ = 122862117000. Its totient is φ = 121563861120.

The previous prime is 122212132111. The next prime is 122212132153. The reversal of 122212132121 is 121231212221.

It can be written as a sum of positive squares in 4 ways, for example, as 49891476496 + 72320655625 = 223364^2 + 268925^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122212132121 - 214 = 122212115737 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122212132093 and 122212132102.

It is not an unprimeable number, because it can be changed into a prime (122212132111) 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 in 7 ways as a sum of consecutive naturals, for example, 285350 + ... + 570831.

It is an arithmetic number, because the mean of its divisors is an integer number (15357764625).

Almost surely, 2122212132121 is an apocalyptic number.

It is an amenable number.

122212132121 is a deficient number, since it is larger than the sum of its proper divisors (649984879).

122212132121 is an equidigital number, since it uses as much as digits as its factorization.

122212132121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856939.

The product of its digits is 192, while the sum is 20.

Adding to 122212132121 its reverse (121231212221), we get a palindrome (243443344342).

The spelling of 122212132121 in words is "one hundred twenty-two billion, two hundred twelve million, one hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 349 409 142741 856181 298807169 350178029 122212132121