Search a number
-
+
12211112112 = 243475879221
BaseRepresentation
bin10110101111101011…
…01100100010110000
31011112000100202201120
423113311230202300
5200002021041422
65335410302240
7611413511643
oct132765544260
934460322646
1012211112112
1151a69442a1
122449587980
1311c7b0c934
1483ba93a5a
154b707245c
hex2d7d6c8b0

12211112112 has 80 divisors (see below), whose sum is σ = 32274934272. Its totient is φ = 3976549120.

The previous prime is 12211112027. The next prime is 12211112129. The reversal of 12211112112 is 21121111221.

It is a happy number.

It is a super-2 number, since 2×122111121122 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12211112091 and 12211112100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1319662 + ... + 1328882.

Almost surely, 212211112112 is an apocalyptic number.

12211112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12211112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16137467136).

12211112112 is an abundant number, since it is smaller than the sum of its proper divisors (20063822160).

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

12211112112 is a wasteful number, since it uses less digits than its factorization.

12211112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9866 (or 9860 counting only the distinct ones).

The product of its digits is 16, while the sum is 15.

Adding to 12211112112 its reverse (21121111221), we get a palindrome (33332223333).

The spelling of 12211112112 in words is "twelve billion, two hundred eleven million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 587 752 1128 1174 1761 2256 2348 3522 4696 7044 9221 9392 14088 18442 27589 27663 28176 36884 55178 55326 73768 82767 110356 110652 147536 165534 220712 221304 331068 433387 441424 442608 662136 866774 1300161 1324272 1733548 2600322 3467096 5200644 5412727 6934192 10401288 10825454 16238181 20802576 21650908 32476362 43301816 64952724 86603632 129905448 254398169 259810896 508796338 763194507 1017592676 1526389014 2035185352 3052778028 4070370704 6105556056 12211112112