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12222102201120 = 2532571212510139
BaseRepresentation
bin1011000111011010111000…
…0011110110001100100000
31121021102101022112221100100
42301312232003312030200
53100221331130413440
641554431203022400
72401006041405450
oct261665603661440
947242338487310
1012222102201120
113992401076919
12145488536aa00
136a8701a95376
143037a5245d60
15162dd1960230
hexb1dae0f6320

12222102201120 has 144 divisors (see below), whose sum is σ = 47666198623680. Its totient is φ = 2793623357952.

The previous prime is 12222102201109. The next prime is 12222102201181. The reversal of 12222102201120 is 2110220122221.

It is a happy number.

12222102201120 is a `hidden beast` number, since 1 + 222 + 210 + 220 + 1 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 12222102201093 and 12222102201102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 606244990 + ... + 606265149.

It is an arithmetic number, because the mean of its divisors is an integer number (331015268220).

Almost surely, 212222102201120 is an apocalyptic number.

12222102201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12222102201120 is an abundant number, since it is smaller than the sum of its proper divisors (35444096422560).

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

12222102201120 is a wasteful number, since it uses less digits than its factorization.

12222102201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212510167 (or 1212510156 counting only the distinct ones).

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

Adding to 12222102201120 its reverse (2110220122221), we get a palindrome (14332322323341).

The spelling of 12222102201120 in words is "twelve trillion, two hundred twenty-two billion, one hundred two million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 1212510139 2425020278 3637530417 4850040556 6062550695 7275060834 8487570973 9700081112 10912591251 12125101390 14550121668 16975141946 18187652085 19400162224 21825182502 24250202780 25462712919 29100243336 33950283892 36375304170 38800324448 42437854865 43650365004 48500405560 50925425838 54562956255 58200486672 67900567784 72750608340 76388138757 84875709730 87300730008 97000811120 101850851676 109125912510 116400973344 127313564595 135801135568 145501216680 152776277514 169751419460 174601460016 194001622240 203701703352 218251825020 254627129190 271602271136 291002433360 305552555028 339502838920 349202920032 381940693785 407403406704 436503650040 509254258380 582004866720 611105110056 679005677840 763881387570 814806813408 873007300080 1018508516760 1222210220112 1358011355680 1527762775140 1746014600160 2037017033520 2444420440224 3055525550280 4074034067040 6111051100560 12222102201120