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12211212131300 = 22527132767348491
BaseRepresentation
bin1011000110110010010011…
…1101100001101111100100
31121020101021100222001222002
42301230210331201233210
53100032030301200200
641545430423024432
72400142135343660
oct261544475415744
947211240861862
1012211212131300
1139888229a2216
12145274629b118
136a768787a380
14303050bcd8a0
15162995887bd5
hexb1b24f61be4

12211212131300 has 144 divisors (see below), whose sum is σ = 32615180744832. Its totient is φ = 3864428006400.

The previous prime is 12211212131299. The next prime is 12211212131429. The reversal of 12211212131300 is 313121211221.

It is a super-2 number, since 2×122112121313002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251800055 + ... + 251848545.

It is an arithmetic number, because the mean of its divisors is an integer number (226494310728).

Almost surely, 212211212131300 is an apocalyptic number.

12211212131300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211212131300 is an abundant number, since it is smaller than the sum of its proper divisors (20403968613532).

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

12211212131300 is a wasteful number, since it uses less digits than its factorization.

12211212131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76198 (or 76191 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 12211212131300 its reverse (313121211221), we get a palindrome (12524333342521).

The spelling of 12211212131300 in words is "twelve trillion, two hundred eleven billion, two hundred twelve million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2275 4550 9100 27673 48491 55346 96982 110692 138365 193711 193964 242455 276730 339437 359749 387422 484910 553460 630383 678874 691825 719498 774844 968555 969820 1212275 1260766 1357748 1383650 1438996 1697185 1798745 1937110 2424550 2518243 2521532 2767300 3151915 3394370 3597490 3874220 4412681 4842775 4849100 5036486 6303830 6788740 7194980 8485925 8825362 8993725 9685550 10072972 12591215 12607660 15759575 16971850 17650724 17987450 19371100 22063405 25182430 31519150 33943700 35974900 44126810 50364860 62956075 63038300 88253620 110317025 125912150 220634050 251824300 441268100 1341891443 2683782886 5367565772 6709457215 9393240101 13418914430 17444588759 18786480202 26837828860 33547286075 34889177518 37572960404 46966200505 67094572150 69778355036 87222943795 93932401010 122112121313 134189144300 174445887590 187864802020 234831002525 244224242626 348891775180 436114718975 469662005050 488448485252 610560606565 872229437950 939324010100 1221121213130 1744458875900 2442242426260 3052803032825 6105606065650 12211212131300