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12202101122220 = 22325432689586277
BaseRepresentation
bin1011000110010000010111…
…1001110010010010101100
31121012111202101222212010100
42301210011321302102230
53044404400341402340
641541322354311100
72366400304136202
oct261440571622254
947174671885110
1012202101122220
113984977a80249
121450a22b88490
136a6865100639
14302828b5d072
15162610a7e830
hexb1905e724ac

12202101122220 has 144 divisors (see below), whose sum is σ = 37887957787680. Its totient is φ = 3177034334208.

The previous prime is 12202101122219. The next prime is 12202101122221. The reversal of 12202101122220 is 2222110120221.

It is a happy number.

12202101122220 is a `hidden beast` number, since 1 + 220 + 2 + 101 + 122 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (12202101122219) and next prime (12202101122221).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12202101122193 and 12202101122202.

It is not an unprimeable number, because it can be changed into a prime (12202101122221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20519722 + ... + 21105998.

It is an arithmetic number, because the mean of its divisors is an integer number (263110817970).

Almost surely, 212202101122220 is an apocalyptic number.

12202101122220 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 12202101122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18943978893840).

12202101122220 is an abundant number, since it is smaller than the sum of its proper divisors (25685856665460).

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

12202101122220 is a wasteful number, since it uses less digits than its factorization.

12202101122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589024 (or 589019 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12202101122220 its reverse (2222110120221), we get a palindrome (14424211242441).

The spelling of 12202101122220 in words is "twelve trillion, two hundred two billion, one hundred one million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2580 2689 3870 5378 7740 8067 10756 13445 16134 24201 26890 32268 40335 48402 53780 80670 96804 115627 121005 161340 231254 242010 346881 462508 484020 578135 586277 693762 1040643 1156270 1172554 1387524 1734405 1758831 2081286 2312540 2345108 2931385 3468810 3517662 4162572 5203215 5276493 5862770 6937620 7035324 8794155 10406430 10552986 11725540 17588310 20812860 21105972 25209911 26382465 35176620 50419822 52764930 75629733 100839644 105529860 126049555 151259466 226889199 252099110 302518932 378148665 453778398 504198220 756297330 907556796 1134445995 1512594660 1576498853 2268891990 3152997706 4537783980 4729496559 6305995412 7882494265 9458993118 14188489677 15764988530 18917986236 23647482795 28376979354 31529977060 47294965590 56753958708 67789450679 70942448385 94589931180 135578901358 141884896770 203368352037 271157802716 283769793540 338947253395 406736704074 610105056111 677894506790 813473408148 1016841760185 1220210112222 1355789013580 2033683520370 2440420224444 3050525280555 4067367040740 6101050561110 12202101122220