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12202001120120 = 2357277606725931
BaseRepresentation
bin1011000110001111111111…
…1100010011101101111000
31121012111111102211020000212
42301203333330103231320
53044404144241320440
641541304423050252
72366364651134660
oct261437774235570
947174442736025
1012202001120120
113984926588189
1214509b55a0988
136a684a488bb6
1430281976b1a0
15162606dc9465
hexb18fff13b78

12202001120120 has 128 divisors (see below), whose sum is σ = 31496252060160. Its totient is φ = 4167592404480.

The previous prime is 12202001120119. The next prime is 12202001120143. The reversal of 12202001120120 is 2102110020221.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 12202001120095 and 12202001120104.

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, 470543555 + ... + 470569485.

It is an arithmetic number, because the mean of its divisors is an integer number (246064469220).

Almost surely, 212202001120120 is an apocalyptic number.

12202001120120 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 12202001120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15748126030080).

12202001120120 is an abundant number, since it is smaller than the sum of its proper divisors (19294250940040).

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

12202001120120 is a wasteful number, since it uses less digits than its factorization.

12202001120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32293 (or 32289 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12202001120120 its reverse (2102110020221), we get a palindrome (14304111140341).

The spelling of 12202001120120 in words is "twelve trillion, two hundred two billion, one million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 277 280 554 1108 1385 1939 2216 2770 3878 5540 6067 7756 9695 11080 12134 15512 19390 24268 25931 30335 38780 42469 48536 51862 60670 77560 84938 103724 121340 129655 169876 181517 207448 212345 242680 259310 339752 363034 424690 518620 726068 849380 907585 1037240 1452136 1680559 1698760 1815170 3361118 3630340 6722236 7182887 7260680 8402795 11763913 13444472 14365774 16805590 23527826 28731548 33611180 35914435 47055652 50280209 57463096 58819565 67222360 71828870 94111304 100560418 117639130 143657740 157323377 201120836 235278260 251401045 287315480 314646754 402241672 470556520 502802090 629293508 786616885 1005604180 1101263639 1258587016 1573233770 2011208360 2202527278 3146467540 4405054556 5506318195 6292935080 8810109112 11012636390 22025272780 43578575429 44050545560 87157150858 174314301716 217892877145 305050028003 348628603432 435785754290 610100056006 871571508580 1220200112012 1525250140015 1743143017160 2440400224024 3050500280030 6101000560060 12202001120120