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12111322221 = 3223237197349
BaseRepresentation
bin10110100011110010…
…00001110001101101
31011021001120220201200
423101321001301231
5144300444302341
65321443400113
7606062353215
oct132171016155
934231526650
1012111322221
115155586709
122420083039
1311b024096b
1482c719245
154ad40edb6
hex2d1e41c6d

12111322221 has 72 divisors (see below), whose sum is σ = 18931512600. Its totient is φ = 7454861568.

The previous prime is 12111322211. The next prime is 12111322243. The reversal of 12111322221 is 12222311121.

12111322221 is a `hidden beast` number, since 12 + 111 + 322 + 221 = 666.

12111322221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9251746596 + 2859575625 = 96186^2 + 53475^2 .

It is not a de Polignac number, because 12111322221 - 210 = 12111321197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12111322194 and 12111322203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12111322211) 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 71 ways as a sum of consecutive naturals, for example, 34702755 + ... + 34703103.

It is an arithmetic number, because the mean of its divisors is an integer number (262937675).

Almost surely, 212111322221 is an apocalyptic number.

It is an amenable number.

12111322221 is a deficient number, since it is larger than the sum of its proper divisors (6820190379).

12111322221 is a wasteful number, since it uses less digits than its factorization.

12111322221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 609 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

Adding to 12111322221 its reverse (12222311121), we get a palindrome (24333633342).

The spelling of 12111322221 in words is "twelve billion, one hundred eleven million, three hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 23 37 69 111 197 207 333 349 529 591 851 1047 1587 1773 2553 3141 4531 4761 7289 7659 8027 12913 13593 19573 21867 24081 38739 40779 58719 65601 68753 72243 104213 116217 167647 176157 184621 206259 296999 312639 502941 553863 618777 890997 937917 1508823 1581319 1661589 2543861 2672991 3855881 4743957 6830977 7631583 11567643 14231871 20492931 22894749 34702929 36370337 58508803 61478793 109111011 175526409 327333033 526579227 1345702469 4037107407 12111322221