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12110332212 = 223211375914009
BaseRepresentation
bin10110100011101010…
…10000000100110100
31011020222201121200200
423101311100010310
5144300221112322
65321410240500
7606051060666
oct132165200464
934228647620
1012110332212
115154a6a920
12241b886130
1311acc85164
1482c53c536
154ad2b68ac
hex2d1d50134

12110332212 has 144 divisors (see below), whose sum is σ = 34881537600. Its totient is φ = 3509844480.

The previous prime is 12110332207. The next prime is 12110332231. The reversal of 12110332212 is 21223301121.

12110332212 is a `hidden beast` number, since 12 + 110 + 332 + 212 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 857464 + ... + 871472.

It is an arithmetic number, because the mean of its divisors is an integer number (242232900).

Almost surely, 212110332212 is an apocalyptic number.

12110332212 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 12110332212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17440768800).

12110332212 is an abundant number, since it is smaller than the sum of its proper divisors (22771205388).

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

12110332212 is a wasteful number, since it uses less digits than its factorization.

12110332212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14126 (or 14121 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12110332212 its reverse (21223301121), we get a palindrome (33333633333).

The spelling of 12110332212 in words is "twelve billion, one hundred ten million, three hundred thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 59 66 74 99 111 118 132 148 177 198 222 236 333 354 396 407 444 531 649 666 708 814 1062 1221 1298 1332 1628 1947 2124 2183 2442 2596 3663 3894 4366 4884 5841 6549 7326 7788 8732 11682 13098 14009 14652 19647 23364 24013 26196 28018 39294 42027 48026 56036 72039 78588 84054 96052 126081 144078 154099 168108 216117 252162 288156 308198 432234 462297 504324 518333 616396 826531 864468 924594 1036666 1386891 1554999 1653062 1849188 2073332 2479593 2773782 3109998 3306124 4664997 4959186 5547564 5701663 6219996 7438779 9091841 9329994 9918372 11403326 14877558 17104989 18183682 18659988 22806652 27275523 29755116 30581647 34209978 36367364 51314967 54551046 61163294 68419956 81826569 91744941 102629934 109102092 122326588 163653138 183489882 205259868 275234823 327306276 336398117 366979764 550469646 672796234 1009194351 1100939292 1345592468 2018388702 3027583053 4036777404 6055166106 12110332212