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12100200112 = 24711134118427
BaseRepresentation
bin10110100010011101…
…00110011010110000
31011020021122212001201
423101032212122300
5144240122400422
65320405140544
7605566001230
oct132116463260
934207585051
1012100200112
11514a27a490
1224183ba754
1311aab48430
1482b061cc0
154ac464727
hex2d13a66b0

12100200112 has 160 divisors (see below), whose sum is σ = 32246936064. Its totient is φ = 4245350400.

The previous prime is 12100200029. The next prime is 12100200193. The reversal of 12100200112 is 21100200121.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 647443 + ... + 665869.

Almost surely, 212100200112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12100200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16123468032).

12100200112 is an abundant number, since it is smaller than the sum of its proper divisors (20146735952).

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

12100200112 is a wasteful number, since it uses less digits than its factorization.

12100200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18507 (or 18501 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12100200112 its reverse (21100200121), we get a palindrome (33200400233).

Subtracting 12100200112 from its reverse (21100200121), we obtain a palindrome (9000000009).

It can be divided in two parts, 12100 and 200112, that added together give a palindrome (212212).

The spelling of 12100200112 in words is "twelve billion, one hundred million, two hundred thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 41 44 52 56 77 82 88 91 104 112 143 154 164 176 182 208 286 287 308 328 364 451 533 572 574 616 656 728 902 1001 1066 1144 1148 1232 1456 1804 2002 2132 2288 2296 3157 3608 3731 4004 4264 4592 5863 6314 7216 7462 8008 8528 11726 12628 14924 16016 18427 23452 25256 29848 36854 41041 46904 50512 59696 73708 82082 93808 128989 147416 164164 202697 239551 257978 294832 328328 405394 479102 515956 656656 755507 810788 958204 1031912 1418879 1511014 1621576 1676857 1916408 2063824 2635061 2837758 3022028 3243152 3353714 3832816 5270122 5288549 5675516 6044056 6707428 8310577 9821591 10540244 10577098 11351032 12088112 13414856 16621154 18445427 19643182 21080488 21154196 22702064 26829712 33242308 36890854 39286364 42160976 42308392 58174039 66484616 68751137 73781708 78572728 84616784 108037501 116348078 132969232 137502274 147563416 157145456 216075002 232696156 275004548 295126832 432150004 465392312 550009096 756262507 864300008 930784624 1100018192 1512525014 1728600016 3025050028 6050100056 12100200112