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122120212221 = 347230768509
BaseRepresentation
bin111000110111011101…
…1101000111011111101
3102200012202201112220000
41301232323220323331
54000100233242341
6132033511544513
711552152451100
oct1615673507375
9380182645800
10122120212221
1147877748a27
121b80198b139
13b692531107
145ca6b74737
15329b1b18b6
hex1c6eee8efd

122120212221 has 30 divisors (see below), whose sum is σ = 212210413470. Its totient is φ = 69782976144.

The previous prime is 122120212157. The next prime is 122120212241. The reversal of 122120212221 is 122212021221.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 104248265625 + 17871946596 = 322875^2 + 133686^2 .

It is not a de Polignac number, because 122120212221 - 26 = 122120212157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122120212194 and 122120212203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122120212241) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 15380286 + ... + 15388223.

It is an arithmetic number, because the mean of its divisors is an integer number (7073680449).

Almost surely, 2122120212221 is an apocalyptic number.

It is an amenable number.

122120212221 is a deficient number, since it is larger than the sum of its proper divisors (90090201249).

122120212221 is an equidigital number, since it uses as much as digits as its factorization.

122120212221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30768535 (or 30768519 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122120212221 its reverse (122212021221), we get a palindrome (244332233442).

The spelling of 122120212221 in words is "one hundred twenty-two billion, one hundred twenty million, two hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 30768509 92305527 215379563 276916581 646138689 830749743 1507656941 1938416067 2492249229 4522970823 5815248201 13568912469 17445744603 40706737407 122120212221