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12011302100220 = 22351638211495919
BaseRepresentation
bin1010111011001001100101…
…1001010001110011111100
31120112021021021222021121220
42232302121121101303330
53033243121314201340
641313525505153340
72346534156203013
oct256623131216374
946467237867556
1012011302100220
113910a679a0aa5
12141ba5492b850
1369187909bc57
142d74c8a4ba7a
1515c695285ed0
hexaec99651cfc

12011302100220 has 96 divisors (see below), whose sum is σ = 33879213204480. Its totient is φ = 3179483953920.

The previous prime is 12011302100173. The next prime is 12011302100407. The reversal of 12011302100220 is 2200120311021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12011302100220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7281421 + ... + 8777339.

It is an arithmetic number, because the mean of its divisors is an integer number (352908470880).

Almost surely, 212011302100220 is an apocalyptic number.

12011302100220 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 12011302100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16939606602240).

12011302100220 is an abundant number, since it is smaller than the sum of its proper divisors (21867911104260).

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

12011302100220 is a wasteful number, since it uses less digits than its factorization.

12011302100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496915 (or 1496913 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12011302100220 its reverse (2200120311021), we get a palindrome (14211422411241).

The spelling of 12011302100220 in words is "twelve trillion, eleven billion, three hundred two million, one hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 163 326 489 652 815 821 978 1630 1642 1956 2445 2463 3260 3284 4105 4890 4926 8210 9780 9852 12315 16420 24630 49260 133823 267646 401469 535292 669115 802938 1338230 1495919 1605876 2007345 2676460 2991838 4014690 4487757 5983676 7479595 8029380 8975514 14959190 17951028 22438785 29918380 44877570 89755140 243834797 487669594 731504391 975339188 1219173985 1228149499 1463008782 2438347970 2456298998 2926017564 3657521955 3684448497 4876695940 4912597996 6140747495 7315043910 7368896994 12281494990 14630087820 14737793988 18422242485 24562989980 36844484970 73688969940 200188368337 400376736674 600565105011 800753473348 1000941841685 1201130210022 2001883683370 2402260420044 3002825525055 4003767366740 6005651050110 12011302100220