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21200111121112 = 237111811543123229
BaseRepresentation
bin1001101001000000010010…
…00101111011001011011000
32210001201012012021011010221
410310200021011323023120
510234320311421333422
6113031110244245424
74315441342156120
oct464401105731330
983051165234127
1021200111121112
116833a0a051060
1224648823a0874
13baa214907181
1453413b42dc80
1526b6e46c13c7
hex13480917b2d8

21200111121112 has 128 divisors (see below), whose sum is σ = 49865206809600. Its totient is φ = 8208759283200.

The previous prime is 21200111121061. The next prime is 21200111121131. The reversal of 21200111121112 is 21112111100212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171976714 + ... + 172099942.

It is an arithmetic number, because the mean of its divisors is an integer number (389571928200).

Almost surely, 221200111121112 is an apocalyptic number.

21200111121112 is a gapful number since it is divisible by the number (22) 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 21200111121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24932603404800).

21200111121112 is an abundant number, since it is smaller than the sum of its proper divisors (28665095688488).

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

21200111121112 is a wasteful number, since it uses less digits than its factorization.

21200111121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124977 (or 124973 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 21200111121112 its reverse (21112111100212), we get a palindrome (42312222221324).

The spelling of 21200111121112 in words is "twenty-one trillion, two hundred billion, one hundred eleven million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 181 308 362 616 724 1267 1448 1543 1991 2534 3086 3982 5068 6172 7964 10136 10801 12344 13937 15928 16973 21602 27874 33946 43204 55748 67892 86408 111496 118811 123229 135784 237622 246458 279283 475244 492916 558566 862603 950488 985832 1117132 1355519 1725206 1954981 2234264 2711038 3072113 3450412 3909962 5422076 6144226 6900824 7819924 9488633 10844152 12288452 15639848 18977266 21504791 22304449 24576904 37954532 43009582 44608898 75909064 86019164 89217796 156131143 172038328 178435592 190142347 245348939 312262286 380284694 490697878 624524572 760569388 981395756 1249049144 1330996429 1521138776 1717442573 1962791512 2091565817 2661992858 3434885146 4183131634 5323985716 6869770292 8366263268 10647971432 13739540584 14640960719 16732526536 29281921438 34415764807 58563842876 68831529614 117127685752 137663059228 240910353649 275326118456 378573412877 481820707298 757146825754 963641414596 1514293651508 1927282829192 2650013890139 3028587303016 5300027780278 10600055560556 21200111121112