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122312312122 = 271113235350119
BaseRepresentation
bin111000111101001100…
…0011100010100111010
3102200201011012020102011
41301322120130110322
54000443422441442
6132104533200134
711560004333110
oct1617230342472
9380634166364
10122312312122
1147966125480
121b85619004a
13b6c32805b0
145cc449bab0
1532aceaa117
hex1c7a61c53a

122312312122 has 128 divisors (see below), whose sum is σ = 261900656640. Its totient is φ = 41281194240.

The previous prime is 122312312051. The next prime is 122312312153. The reversal of 122312312122 is 221213213221.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 122312312093 and 122312312102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2415379 + ... + 2465497.

It is an arithmetic number, because the mean of its divisors is an integer number (2046098880).

Almost surely, 2122312312122 is an apocalyptic number.

122312312122 is an abundant number, since it is smaller than the sum of its proper divisors (139588344518).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122312312122 is a wasteful number, since it uses less digits than its factorization.

122312312122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50228.

The product of its digits is 576, while the sum is 22.

Adding to 122312312122 its reverse (221213213221), we get a palindrome (343525525343).

It can be divided in two parts, 122312 and 312122, that added together give a palindrome (434434).

The spelling of 122312312122 in words is "one hundred twenty-two billion, three hundred twelve million, three hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 23 26 46 53 77 91 106 143 154 161 182 253 286 299 322 371 506 583 598 689 742 1001 1166 1219 1378 1771 2002 2093 2438 3289 3542 4081 4186 4823 6578 7579 8162 8533 9646 13409 15158 15847 17066 23023 26818 31694 46046 50119 53053 93863 100238 106106 110929 174317 187726 221858 348634 350833 551309 651547 701666 1102618 1152737 1220219 1303094 2305474 2440438 2656307 3859163 4560829 5312614 7167017 7718326 8069159 9121658 12680107 14334034 14985581 16138318 18594149 25360214 29219377 29971162 34531991 37188298 50169119 58438754 61095061 69063982 88760749 100338238 104899067 122190122 164841391 177521498 204535639 209798134 241723937 329682782 379851901 409071278 427665427 483447874 672045671 759703802 794235793 855330854 1153889737 1344091342 1588471586 2307779474 2658963307 4704319697 5317926614 5559650551 8736593723 9408639394 11119301102 17473187446 61156156061 122312312122