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12022120010120 = 23511213789180137
BaseRepresentation
bin1010111011110001111000…
…1100010101000110001000
31120120022012012210001012112
42232330132030111012020
53033432300210310440
641322515150401452
72350366225003643
oct256743614250610
946508165701175
1012022120010120
113915609369900
121421b73800288
136928b137027c
142d7c3367ca5a
1515cac9d57965
hexaef1e315188

12022120010120 has 96 divisors (see below), whose sum is σ = 29734713149400. Its totient is φ = 4371338695680.

The previous prime is 12022120010107. The next prime is 12022120010123. The reversal of 12022120010120 is 2101002122021.

It can be written as a sum of positive squares in 4 ways, for example, as 11585677443076 + 436442567044 = 3403774^2 + 660638^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12022120010095 and 12022120010104.

It is not an unprimeable number, because it can be changed into a prime (12022120010123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66648692 + ... + 66828828.

Almost surely, 212022120010120 is an apocalyptic number.

12022120010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12022120010120 is an abundant number, since it is smaller than the sum of its proper divisors (17712593139280).

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

12022120010120 is a wasteful number, since it uses less digits than its factorization.

12022120010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193959 (or 193944 counting only the distinct ones).

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

Adding to 12022120010120 its reverse (2101002122021), we get a palindrome (14123122132141).

The spelling of 12022120010120 in words is "twelve trillion, twenty-two billion, one hundred twenty million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 13789 27578 55156 68945 110312 137890 151679 180137 275780 303358 360274 551560 606716 720548 758395 900685 1213432 1441096 1516790 1668469 1801370 1981507 3033580 3336938 3602740 3963014 6067160 6673876 7205480 7926028 8342345 9907535 13347752 15852056 16684690 19815070 21796577 33369380 39630140 43593154 66738760 79260280 87186308 108982885 174372616 217965770 435931540 871863080 2483909093 4967818186 9935636372 12419545465 19871272744 24839090930 27323000023 49678181860 54646000046 99356363720 109292000092 136615000115 218584000184 273230000230 300553000253 546460000460 601106000506 1092920000920 1202212001012 1502765001265 2404424002024 3005530002530 6011060005060 12022120010120