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12222011002122 = 23210126924991741
BaseRepresentation
bin1011000111011010100010…
…0111111100110100001010
31121021102010221221112211200
42301312220213330310022
53100221134304031442
641554414144205030
72401003553260245
oct261665047746412
947242127845750
1012222011002122
113992364646749
12145485a909776
136a86b8c1376c
143037970a625c
15162dc894834c
hexb1da89fcd0a

12222011002122 has 48 divisors (see below), whose sum is σ = 26842630412520. Its totient is φ = 4018671792000.

The previous prime is 12222011002111. The next prime is 12222011002141. The reversal of 12222011002122 is 22120011022221.

It is a happy number.

12222011002122 is a `hidden beast` number, since 122 + 220 + 110 + 0 + 212 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12151212967881 + 70798034241 = 3485859^2 + 266079^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12222011002095 and 12222011002104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12006829 + ... + 12984912.

Almost surely, 212222011002122 is an apocalyptic number.

12222011002122 is an abundant number, since it is smaller than the sum of its proper divisors (14620619410398).

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

12222011002122 is a wasteful number, since it uses less digits than its factorization.

12222011002122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24992119 (or 24992116 counting only the distinct ones).

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

Adding to 12222011002122 its reverse (22120011022221), we get a palindrome (34342022024343).

The spelling of 12222011002122 in words is "twelve trillion, two hundred twenty-two billion, eleven million, two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 101 202 269 303 538 606 807 909 1614 1818 2421 4842 27169 54338 81507 163014 244521 489042 24991741 49983482 74975223 149950446 224925669 449851338 2524165841 5048331682 6722778329 7572497523 13445556658 15144995046 20168334987 22717492569 40336669974 45434985138 60505004961 121010009922 679000611229 1358001222458 2037001833687 4074003667374 6111005501061 12222011002122