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12322001212220 = 22572311633290377
BaseRepresentation
bin1011001101001111000010…
…0000010101001100111100
31121121222020110011111212102
42303103300200111030330
53103340424302242340
642112352121324232
72411143451112620
oct263236040251474
947558213144772
1012322001212220
113a208054a5517
121470105336678
136b4c626a615b
14308560ad9180
151657cbd9c215
hexb34f081533c

12322001212220 has 96 divisors (see below), whose sum is σ = 30885119935488. Its totient is φ = 4037528259072.

The previous prime is 12322001212219. The next prime is 12322001212259. The reversal of 12322001212220 is 2221210022321.

It is a super-2 number, since 2×123220012122202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12322001212192 and 12322001212201.

It is a congruent number.

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, 2099672 + ... + 5390048.

It is an arithmetic number, because the mean of its divisors is an integer number (321719999328).

Almost surely, 212322001212220 is an apocalyptic number.

12322001212220 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 12322001212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15442559967744).

12322001212220 is an abundant number, since it is smaller than the sum of its proper divisors (18563118723268).

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

12322001212220 is a wasteful number, since it uses less digits than its factorization.

12322001212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3291579 (or 3291577 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12322001212220 its reverse (2221210022321), we get a palindrome (14543211234541).

The spelling of 12322001212220 in words is "twelve trillion, three hundred twenty-two billion, one million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1163 1610 2326 3220 4652 5815 8141 11630 16282 23260 26749 32564 40705 53498 81410 106996 133745 162820 187243 267490 374486 534980 748972 936215 1872430 3290377 3744860 6580754 13161508 16451885 23032639 32903770 46065278 65807540 75678671 92130556 115163195 151357342 230326390 302714684 378393355 460652780 529750697 756786710 1059501394 1513573420 2119002788 2648753485 3826708451 5297506970 7653416902 10595013940 15306833804 19133542255 26786959157 38267084510 53573918314 76534169020 88014294373 107147836628 133934795785 176028588746 267869591570 352057177492 440071471865 535739183140 616100060611 880142943730 1232200121222 1760285887460 2464400242444 3080500303055 6161000606110 12322001212220