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21220010222112 = 25321338671146563
BaseRepresentation
bin1001101001100101010110…
…01010111110001000100000
32210010121112222221012222200
410310302223022332020200
510240132040104101422
6113044201011133200
74320044430554622
oct464625312761040
983117488835880
1021220010222112
1168413a0625179
1224686b65a4200
13bac066415050
145350a816cc12
1526beab65b2ac
hex134cab2be220

21220010222112 has 144 divisors (see below), whose sum is σ = 64988405209728. Its totient is φ = 6529020526080.

The previous prime is 21220010222107. The next prime is 21220010222129. The reversal of 21220010222112 is 21122201002212.

It is a happy number.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144710943 + ... + 144857505.

It is an arithmetic number, because the mean of its divisors is an integer number (451308369512).

Almost surely, 221220010222112 is an apocalyptic number.

It is an amenable number.

21220010222112 is an abundant number, since it is smaller than the sum of its proper divisors (43768394987616).

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

21220010222112 is a wasteful number, since it uses less digits than its factorization.

21220010222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185263 (or 185252 counting only the distinct ones).

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

Adding to 21220010222112 its reverse (21122201002212), we get a palindrome (42342211224324).

The spelling of 21220010222112 in words is "twenty-one trillion, two hundred twenty billion, ten million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 38671 77342 116013 146563 154684 232026 293126 309368 348039 439689 464052 502723 586252 618736 696078 879378 928104 1005446 1172504 1237472 1319067 1392156 1508169 1758756 1856208 1905319 2010892 2345008 2638134 2784312 3016338 3517512 3712416 3810638 4021784 4524507 4690016 5276268 5568624 5715957 6032676 7035024 7621276 8043568 9049014 10552536 11137248 11431914 12065352 14070048 15242552 16087136 17147871 18098028 21105072 22863828 24130704 30485104 34295742 36196056 42210144 45727656 48261408 60970208 68591484 72392112 91455312 137182968 144784224 182910624 274365936 548731872 5667737773 11335475546 17003213319 22670951092 34006426638 45341902184 51009639957 68012853276 73680591049 90683804368 102019279914 136025706552 147361182098 181367608736 204038559828 221041773147 272051413104 294722364196 408077119656 442083546294 544102826208 589444728392 663125319441 816154239312 884167092588 1178889456784 1326250638882 1632308478624 1768334185176 2357778913568 2652501277764 3536668370352 5305002555528 7073336740704 10610005111056 21220010222112