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122221120220020 = 2253797218319587
BaseRepresentation
bin11011110010100011010010…
…011101000110101101110100
3121000202020002000022220122001
4123302203102131012231310
5112004432323234020040
61111535335115345044
734513120203432553
oct3362432235065564
9530666060286561
10122221120220020
1135a41760080088
121185b331a52184
13532752c798103
1422277689a9d9a
15e1e3b9d5059a
hex6f28d2746b74

122221120220020 has 144 divisors (see below), whose sum is σ = 266520043585152. Its totient is φ = 47046137057280.

The previous prime is 122221120220009. The next prime is 122221120220033. The reversal of 122221120220020 is 20022021122221.

It is a self number, because there is not a number n which added to its sum of digits gives 122221120220020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12748625667 + ... + 12748635253.

It is an arithmetic number, because the mean of its divisors is an integer number (1850833636008).

Almost surely, 2122221120220020 is an apocalyptic number.

122221120220020 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 122221120220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133260021792576).

122221120220020 is an abundant number, since it is smaller than the sum of its proper divisors (144298923365132).

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

122221120220020 is a wasteful number, since it uses less digits than its factorization.

122221120220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11658 (or 11559 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 122221120220020 its reverse (20022021122221), we get a palindrome (142243141342241).

The spelling of 122221120220020 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, one hundred twenty million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 97 148 185 194 370 388 485 740 970 1831 1940 3589 3662 7178 7324 9155 9409 9587 14356 17945 18310 18818 19174 35890 36620 37636 38348 47045 47935 67747 71780 94090 95870 135494 177607 188180 191740 270988 338735 348133 354719 355214 677470 696266 709438 710428 888035 929939 1354940 1392532 1418876 1740665 1773595 1776070 1859878 3481330 3547190 3552140 3719756 4649695 6571459 6962660 7094380 9299390 13142918 17227879 17553797 18598780 26285836 32857295 34407743 34455758 35107594 65714590 68815486 68911516 70215188 86139395 87768985 90204083 131429180 137630972 172038715 172278790 175537970 180408166 344077430 344557580 351075940 360816332 451020415 637431523 649490489 688154860 902040830 1274863046 1298980978 1702718309 1804081660 2549726092 2597961956 3187157615 3247452445 3337551071 3405436618 6374315230 6494904890 6675102142 6810873236 8513591545 12748630460 12989809780 13350204284 16687755355 17027183090 33375510710 34054366180 63000577433 66751021420 126001154866 165163675973 252002309732 315002887165 330327351946 630005774330 660654703892 825818379865 1260011548660 1651636759730 3303273519460 6111056011001 12222112022002 24444224044004 30555280055005 61110560110010 122221120220020