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12221322200220 = 22357233291248697
BaseRepresentation
bin1011000111010111111110…
…0100011000010010011100
31121021100100221211210021010
42301311333210120102130
53100213231440401340
641554221540535220
72400650520455400
oct261657744302234
947240327753233
1012221322200220
113992040855681
1214546a80b1510
136a86092c5383
1430372d805100
15162d88238b80
hexb1d7f91849c

12221322200220 has 144 divisors (see below), whose sum is σ = 39818581719840. Its totient is φ = 2792603713536.

The previous prime is 12221322200183. The next prime is 12221322200233. The reversal of 12221322200220 is 2200222312221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9162912 + ... + 10411608.

It is an arithmetic number, because the mean of its divisors is an integer number (276517928610).

Almost surely, 212221322200220 is an apocalyptic number.

12221322200220 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 12221322200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19909290859920).

12221322200220 is an abundant number, since it is smaller than the sum of its proper divisors (27597259519620).

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

12221322200220 is a wasteful number, since it uses less digits than its factorization.

12221322200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252052 (or 1252043 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 12221322200220 its reverse (2200222312221), we get a palindrome (14421544512441).

The spelling of 12221322200220 in words is "twelve trillion, two hundred twenty-one billion, three hundred twenty-two million, two hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 3329 6658 9987 13316 16645 19974 23303 33290 39948 46606 49935 66580 69909 93212 99870 116515 139818 163121 199740 233030 279636 326242 349545 466060 489363 652484 699090 815605 978726 1248697 1398180 1631210 1957452 2446815 2497394 3262420 3746091 4893630 4994788 6243485 7492182 8740879 9787260 12486970 14984364 17481758 18730455 24973940 26222637 34963516 37460910 43704395 52445274 61186153 74921820 87408790 104890548 122372306 131113185 174817580 183558459 244744612 262226370 305930765 367116918 524452740 611861530 734233836 917792295 1223723060 1835584590 3671169180 4156912313 8313824626 12470736939 16627649252 20784561565 24941473878 29098386191 41569123130 49882947756 58196772382 62353684695 83138246260 87295158573 116393544764 124707369390 145491930955 174590317146 203688703337 249414738780 290983861910 349180634292 407377406674 436475792865 581967723820 611066110011 814754813348 872951585730 1018443516685 1222132220022 1745903171460 2036887033370 2444264440044 3055330550055 4073774066740 6110661100110 12221322200220