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12211121121120 = 2532512796630137
BaseRepresentation
bin1011000110110001111110…
…0010010110011101100000
31121020101001000201021110200
42301230133202112131200
53100031334001333440
641545413412225200
72400136651643115
oct261543742263540
947211030637420
1012211121121120
113988786590999
12145271b90b200
136a7671a636ac
14303042a9c90c
1516298c8abc30
hexb1b1f896760

12211121121120 has 144 divisors (see below), whose sum is σ = 41703037608960. Its totient is φ = 3253752502272.

The previous prime is 12211121121119. The next prime is 12211121121179. The reversal of 12211121121120 is 2112112111221.

It is a happy number.

12211121121120 is a `hidden beast` number, since 1 + 221 + 1 + 1 + 211 + 211 + 20 = 666.

12211121121120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×122111211211202 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12211121121093 and 12211121121102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1473309 + ... + 5156828.

It is an arithmetic number, because the mean of its divisors is an integer number (289604427840).

Almost surely, 212211121121120 is an apocalyptic number.

12211121121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211121121120 is an abundant number, since it is smaller than the sum of its proper divisors (29491916487840).

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

12211121121120 is a wasteful number, since it uses less digits than its factorization.

12211121121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6631437 (or 6631426 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 12211121121120 its reverse (2112112111221), we get a palindrome (14323233232341).

The spelling of 12211121121120 in words is "twelve trillion, two hundred eleven billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1279 1440 2558 3837 5116 6395 7674 10232 11511 12790 15348 19185 20464 23022 25580 30696 38370 40928 46044 51160 57555 61392 76740 92088 102320 115110 122784 153480 184176 204640 230220 306960 368352 460440 613920 920880 1841760 6630137 13260274 19890411 26520548 33150685 39780822 53041096 59671233 66301370 79561644 99452055 106082192 119342466 132602740 159123288 198904110 212164384 238684932 265205480 298356165 318246576 397808220 477369864 530410960 596712330 636493152 795616440 954739728 1060821920 1193424660 1591232880 1909479456 2386849320 3182465760 4773698640 8479945223 9547397280 16959890446 25439835669 33919780892 42399726115 50879671338 67839561784 76319507007 84799452230 101759342676 127199178345 135679123568 152639014014 169598904460 203518685352 254398356690 271358247136 305278028028 339197808920 381597535035 407037370704 508796713380 610556056056 678395617840 763195070070 814074741408 1017593426760 1221112112112 1356791235680 1526390140140 2035186853520 2442224224224 3052780280280 4070373707040 6105560560560 12211121121120