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11121211222000 = 245311539537917
BaseRepresentation
bin1010000111010101101111…
…0110000010011111110000
31110101011210022221202000221
42201311123312002133300
52424202220033101000
635353003000422424
72225323660443235
oct241653366023760
943334708852027
1011121211222000
1135a852a895050
1212b7447177a14
13628958531719
142a63ab6cd78c
1514444cb6561a
hexa1d5bd827f0

11121211222000 has 160 divisors (see below), whose sum is σ = 29889240698304. Its totient is φ = 3967773056000.

The previous prime is 11121211221997. The next prime is 11121211222003. The reversal of 11121211222000 is 22211212111.

It is an interprime number because it is at equal distance from previous prime (11121211221997) and next prime (11121211222003).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121211222003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3602959 + ... + 5934958.

Almost surely, 211121211222000 is an apocalyptic number.

11121211222000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11121211222000 is an abundant number, since it is smaller than the sum of its proper divisors (18768029476304).

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

11121211222000 is a wasteful number, since it uses less digits than its factorization.

11121211222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9538004 (or 9537988 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11121211222000 its reverse (22211212111), we get a palindrome (11143422434111).

The spelling of 11121211222000 in words is "eleven trillion, one hundred twenty-one billion, two hundred eleven million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 53 55 80 88 100 106 110 125 176 200 212 220 250 265 275 400 424 440 500 530 550 583 848 880 1000 1060 1100 1166 1325 1375 2000 2120 2200 2332 2650 2750 2915 4240 4400 4664 5300 5500 5830 6625 9328 10600 11000 11660 13250 14575 21200 22000 23320 26500 29150 46640 53000 58300 72875 106000 116600 145750 233200 291500 583000 1166000 9537917 19075834 38151668 47689585 76303336 95379170 104917087 152606672 190758340 209834174 238447925 381516680 419668348 476895850 505509601 524585435 763033360 839336696 953791700 1011019202 1049170870 1192239625 1678673392 1907583400 2022038404 2098341740 2384479250 2527548005 2622927175 3815166800 4044076808 4196683480 4768958500 5055096010 5245854350 5560605611 8088153616 8393366960 9537917000 10110192020 10491708700 11121211222 12637740025 13114635875 19075834000 20220384040 20983417400 22242422444 25275480050 26229271750 27803028055 40440768080 41966834800 44484844888 50550960100 52458543500 55606056110 63188700125 88969689776 101101920200 104917087000 111212112220 126377400250 139015140275 202203840400 209834174000 222424224440 252754800500 278030280550 444848448880 505509601000 556060561100 695075701375 1011019202000 1112121122200 1390151402750 2224242244400 2780302805500 5560605611000 11121211222000