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12021221102020 = 22513178633151487
BaseRepresentation
bin1010111011101110100010…
…0111010001000111000100
31120120012212120022210002221
42232323220213101013010
53033423430100231040
641322250035542124
72350335031263424
oct256735047210704
946505776283087
1012021221102020
113915197a12949
12142196275a944
1369279a0698a0
142d7b8a128484
1515ca75e9474a
hexaeee89d11c4

12021221102020 has 96 divisors (see below), whose sum is σ = 28819021529088. Its totient is φ = 4172668311552.

The previous prime is 12021221101999. The next prime is 12021221102083. The reversal of 12021221102020 is 2020112212021.

It is a happy number.

12021221102020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12021221101985 and 12021221102003.

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, 2238717 + ... + 5390203.

It is an arithmetic number, because the mean of its divisors is an integer number (300198140928).

Almost surely, 212021221102020 is an apocalyptic number.

12021221102020 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 12021221102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14409510764544).

12021221102020 is an abundant number, since it is smaller than the sum of its proper divisors (16797800427068).

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

12021221102020 is a wasteful number, since it uses less digits than its factorization.

12021221102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3152389 (or 3152387 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12021221102020 its reverse (2020112212021), we get a palindrome (14041333314041).

The spelling of 12021221102020 in words is "twelve trillion, twenty-one billion, two hundred twenty-one million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 863 884 1105 1726 2210 3452 4315 4420 8630 11219 14671 17260 22438 29342 44876 56095 58684 73355 112190 146710 190723 224380 293420 381446 762892 953615 1907230 3151487 3814460 6302974 12605948 15757435 31514870 40969331 53575279 63029740 81938662 107150558 163877324 204846655 214301116 267876395 409693310 535752790 696478627 819386620 1071505580 1392957254 2719733281 2785914508 3482393135 5439466562 6964786270 10878933124 13598666405 13929572540 27197332810 35356532653 46235465777 54394665620 70713065306 92470931554 141426130612 176782663265 184941863108 231177328885 353565326530 462354657770 601061055101 707130653060 924709315540 1202122110202 2404244220404 3005305275505 6010610551010 12021221102020