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12200000011020 = 223358323279517
BaseRepresentation
bin1011000110001000100010…
…1010101011101100001100
31121012022022222101100102000
42301202020222223230030
53044341100000323040
641540334100232300
72366264242033443
oct261421052535414
947168288340360
1012200000011020
113983a99a53308
12145053739b690
136a65bba13a83
143026a9aa3d5a
1516253b398130
hexb1888aabb0c

12200000011020 has 144 divisors (see below), whose sum is σ = 38418372743520. Its totient is φ = 3214135569024.

The previous prime is 12200000011013. The next prime is 12200000011021. The reversal of 12200000011020 is 2011000000221.

It is a super-3 number, since 3×122000000110203 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12200000010993 and 12200000011011.

It is not an unprimeable number, because it can be changed into a prime (12200000011021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2080302 + ... + 5359818.

Almost surely, 212200000011020 is an apocalyptic number.

12200000011020 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 12200000011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19209186371760).

12200000011020 is an abundant number, since it is smaller than the sum of its proper divisors (26218372732500).

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

12200000011020 is a wasteful number, since it uses less digits than its factorization.

12200000011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3279701 (or 3279610 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12200000011020 its reverse (2011000000221), we get a palindrome (14211000011241).

The spelling of 12200000011020 in words is "twelve trillion, two hundred billion, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 83 90 108 135 166 180 249 270 332 415 498 540 747 830 996 1245 1494 1660 2241 2490 2988 3735 4482 4980 6889 7470 8964 11205 13778 14940 20667 22410 27556 34445 41334 44820 62001 68890 82668 103335 124002 137780 186003 206670 248004 310005 372006 413340 620010 744012 930015 1240020 1860030 3279517 3720060 6559034 9838551 13118068 16397585 19677102 29515653 32795170 39354204 49192755 59031306 65590340 88546959 98385510 118062612 147578265 177093918 196771020 272199911 295156530 354187836 442734795 544399822 590313060 816599733 885469590 1088799644 1360999555 1633199466 1770939180 2449799199 2721999110 3266398932 4082998665 4899598398 5443998220 7349397597 8165997330 9799196796 12248995995 14698795194 16331994660 22592592613 24497991990 29397590388 36746987985 45185185226 48995983980 67777777839 73493975970 90370370452 112962963065 135555555678 146987951940 203333333517 225925926130 271111111356 338888889195 406666667034 451851852260 610000000551 677777778390 813333334068 1016666667585 1220000001102 1355555556780 2033333335170 2440000002204 3050000002755 4066666670340 6100000005510 12200000011020