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11212201222000 = 245336131551647
BaseRepresentation
bin1010001100101000101101…
…0001010101111101110000
31110200212122120200122211221
42203022023101111331300
52432200042003101000
635502451504114424
72235024540621202
oct243121321257560
943625576618757
1011212201222000
113633082319859
121310bbb605a14
136343c949c2cc
142aa95dc94772
151469c5d9a61a
hexa328b455f70

11212201222000 has 80 divisors (see below), whose sum is σ = 27118623796992. Its totient is φ = 4483636281600.

The previous prime is 11212201221971. The next prime is 11212201222007. The reversal of 11212201222000 is 22210221211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 (11212201222007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6450177 + ... + 8001823.

Almost surely, 211212201222000 is an apocalyptic number.

11212201222000 is a gapful number since it is divisible by the number (10) 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 11212201222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13559311898496).

11212201222000 is an abundant number, since it is smaller than the sum of its proper divisors (15906422574992).

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

11212201222000 is a wasteful number, since it uses less digits than its factorization.

11212201222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555283 (or 1555267 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11212201222000 its reverse (22210221211), we get a palindrome (11234411443211).

The spelling of 11212201222000 in words is "eleven trillion, two hundred twelve billion, two hundred one million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 3613 7226 14452 18065 28904 36130 57808 72260 90325 144520 180650 289040 361300 451625 722600 903250 1445200 1551647 1806500 3103294 3613000 6206588 7226000 7758235 12413176 15516470 24826352 31032940 38791175 62065880 77582350 124131760 155164700 193955875 310329400 387911750 620658800 775823500 1551647000 3103294000 5606100611 11212201222 22424402444 28030503055 44848804888 56061006110 89697609776 112122012220 140152515275 224244024440 280305030550 448488048880 560610061100 700762576375 1121220122200 1401525152750 2242440244400 2803050305500 5606100611000 11212201222000