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11221111200012 = 2237237727709451
BaseRepresentation
bin1010001101001001111001…
…0110001101100100001100
31110201201122112101102220120
42203102132112031210030
52432321313431400022
635510523551544540
72235461411315400
oct243223626154414
943651575342816
1011221111200012
11363693481414a
12131288752b150
136351b93c064c
142ab167355100
15146d481e3d5c
hexa349e58d90c

11221111200012 has 144 divisors (see below), whose sum is σ = 31323543084288. Its totient is φ = 3115087113600.

The previous prime is 11221111199999. The next prime is 11221111200031. The reversal of 11221111200012 is 21000211112211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11221111199964 and 11221111200000.

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, 15461887 + ... + 16171337.

It is an arithmetic number, because the mean of its divisors is an integer number (217524604752).

Almost surely, 211221111200012 is an apocalyptic number.

11221111200012 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 11221111200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15661771542144).

11221111200012 is an abundant number, since it is smaller than the sum of its proper divisors (20102431884276).

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

11221111200012 is a wasteful number, since it uses less digits than its factorization.

11221111200012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710236 (or 710227 counting only the distinct ones).

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

Adding to 11221111200012 its reverse (21000211112211), we get a palindrome (32221322312223).

The spelling of 11221111200012 in words is "eleven trillion, two hundred twenty-one billion, one hundred eleven million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 49 74 84 98 111 147 148 196 222 259 294 444 518 588 727 777 1036 1454 1554 1813 2181 2908 3108 3626 4362 5089 5439 7252 8724 10178 10878 15267 20356 21756 26899 30534 35623 53798 61068 71246 80697 106869 107596 142492 161394 188293 213738 322788 376586 427476 564879 709451 753172 1129758 1318051 1418902 2128353 2259516 2636102 2837804 3954153 4256706 4966157 5272204 7908306 8513412 9932314 14898471 15816612 19864628 26249687 29796942 34763099 52499374 59593884 69526198 78749061 104289297 104998748 139052396 157498122 183747809 208578594 314996244 367495618 417157188 515770877 551243427 734991236 1031541754 1102486854 1286234663 1547312631 2063083508 2204973708 2572469326 3094625262 3610396139 3858703989 5144938652 6189250524 7220792278 7717407978 10831188417 14441584556 15434815956 19083522449 21662376834 25272772973 38167044898 43324753668 50545545946 57250567347 75818318919 76334089796 101091091892 114501134694 133584657143 151636637838 229002269388 267169314286 303273275676 400753971429 534338628572 801507942858 935092600001 1603015885716 1870185200002 2805277800003 3740370400004 5610555600006 11221111200012