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12201101110120 = 23513471992508677
BaseRepresentation
bin1011000110001100101001…
…0011000010101101101000
31121012102011201021222102011
42301203022103002231220
53044400323341010440
641541035232445304
72366333442155056
oct261431223025550
947172151258364
1012201101110120
11398450454936a
1214507a40a9834
136a6735b8aac0
1430277200b1d6
151625a2d999ea
hexb18ca4c2b68

12201101110120 has 128 divisors (see below), whose sum is σ = 30344969088000. Its totient is φ = 4387012033536.

The previous prime is 12201101110117. The next prime is 12201101110141. The reversal of 12201101110120 is 2101110110221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 12201101110120.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3609222 + ... + 6117898.

It is an arithmetic number, because the mean of its divisors is an integer number (237070071000).

Almost surely, 212201101110120 is an apocalyptic number.

12201101110120 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 12201101110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15172484544000).

12201101110120 is an abundant number, since it is smaller than the sum of its proper divisors (18143867977880).

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

12201101110120 is a wasteful number, since it uses less digits than its factorization.

12201101110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2508947 (or 2508943 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12201101110120 its reverse (2101110110221), we get a palindrome (14302211220341).

The spelling of 12201101110120 in words is "twelve trillion, two hundred one billion, one hundred one million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 47 52 65 94 104 130 188 199 235 260 376 398 470 520 611 796 940 995 1222 1592 1880 1990 2444 2587 3055 3980 4888 5174 6110 7960 9353 10348 12220 12935 18706 20696 24440 25870 37412 46765 51740 74824 93530 103480 121589 187060 243178 374120 486356 607945 972712 1215890 2431780 2508677 4863560 5017354 10034708 12543385 20069416 25086770 32612801 50173540 65225602 100347080 117907819 130451204 163064005 235815638 260902408 326128010 471631276 499226723 589539095 652256020 943262552 998453446 1179078190 1304512040 1532801647 1996906892 2358156380 2496133615 3065603294 3993813784 4716312760 4992267230 6131206588 6489947399 7664008235 9984534460 12262413176 12979894798 15328016470 19969068920 23463655981 25959789596 30656032940 32449736995 46927311962 51919579192 61312065880 64899473990 93854623924 117318279905 129798947980 187709247848 234636559810 259597895960 305027527753 469273119620 610055055506 938546239240 1220110111012 1525137638765 2440220222024 3050275277530 6100550555060 12201101110120