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121142110442220 = 223257293315328693
BaseRepresentation
bin11011100010110110011000…
…011101011101001011101100
3120212221001221222001220122100
4123202312120131131023230
5111334243020233122340
61105351530043215100
734342141266600240
oct3342663035351354
9525831858056570
10121142110442220
11356660981a376a
121170619b817490
13527986259027a
1421cb44910c420
15e012b7019830
hex6e2d9875d2ec

121142110442220 has 144 divisors (see below), whose sum is σ = 434440672061760. Its totient is φ = 26734810572288.

The previous prime is 121142110442189. The next prime is 121142110442237. The reversal of 121142110442220 is 22244011241121.

121142110442220 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 4 + 211 + 0 + 4 + 422 + 20 = 666.

It is a super-3 number, since 3×1211421104422203 (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1657627807 + ... + 1657700886.

It is an arithmetic number, because the mean of its divisors is an integer number (3016949111540).

Almost surely, 2121142110442220 is an apocalyptic number.

121142110442220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121142110442220 is an abundant number, since it is smaller than the sum of its proper divisors (313298561619540).

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

121142110442220 is a wasteful number, since it uses less digits than its factorization.

121142110442220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3315328744 (or 3315328739 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 121142110442220 its reverse (22244011241121), we get a palindrome (143386121683341).

The spelling of 121142110442220 in words is "one hundred twenty-one trillion, one hundred forty-two billion, one hundred ten million, four hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 29 30 35 36 42 45 58 60 63 70 84 87 90 105 116 126 140 145 174 180 203 210 252 261 290 315 348 406 420 435 522 580 609 630 812 870 1015 1044 1218 1260 1305 1740 1827 2030 2436 2610 3045 3654 4060 5220 6090 7308 9135 12180 18270 36540 3315328693 6630657386 9945986079 13261314772 16576643465 19891972158 23207300851 29837958237 33153286930 39783944316 46414601702 49729930395 59675916474 66306573860 69621902553 92829203404 96144532097 99459860790 116036504255 119351832948 139243805106 149189791185 192289064194 198919721580 208865707659 232073008510 278487610212 288433596291 298379582370 348109512765 384578128388 417731415318 464146017020 480722660485 576867192582 596759164740 673011724679 696219025530 835462830636 865300788873 961445320970 1044328538295 1153734385164 1346023449358 1392438051060 1442167981455 1730601577746 1922890641940 2019035174037 2088657076590 2692046898716 2884335962910 3365058623395 3461203155492 4038070348074 4177314153180 4326503944365 5768671925820 6057105522111 6730117246790 8076140696148 8653007888730 10095175870185 12114211044222 13460234493580 17306015777460 20190351740370 24228422088444 30285527610555 40380703480740 60571055221110 121142110442220