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122221122200112 = 243133745077117437
BaseRepresentation
bin11011110010100011010010…
…100100101010001000110000
3121000202020002011001111210210
4123302203102210222020300
5112004432324240400422
61111535335230024120
734513120226320455
oct3362432244521060
9530666064044723
10122221122200112
1135a41761202821
121185b332648040
13532753000c470
142227768d6382c
15e1e3ba0e210c
hex6f28d292a230

122221122200112 has 160 divisors (see below), whose sum is σ = 349226026978752. Its totient is φ = 36588983980032.

The previous prime is 122221122200011. The next prime is 122221122200117. The reversal of 122221122200112 is 211002221122221.

It is not an unprimeable number, because it can be changed into a prime (122221122200117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1040679058 + ... + 1040796494.

Almost surely, 2122221122200112 is an apocalyptic number.

122221122200112 is a gapful number since it is divisible by the number (12) 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 122221122200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174613013489376).

122221122200112 is an abundant number, since it is smaller than the sum of its proper divisors (227004904778640).

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

122221122200112 is a wasteful number, since it uses less digits than its factorization.

122221122200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162575 (or 162569 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 122221122200112 its reverse (211002221122221), we get a palindrome (333223343322333).

The spelling of 122221122200112 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, one hundred twenty-two million, two hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 37 39 48 52 74 78 104 111 148 156 208 222 296 312 444 481 592 624 888 962 1443 1776 1924 2886 3848 5772 7696 11544 23088 45077 90154 117437 135231 180308 234874 270462 352311 360616 469748 540924 586001 704622 721232 939496 1081848 1172002 1409244 1526681 1667849 1758003 1878992 2163696 2344004 2818488 3053362 3335698 3516006 4345169 4580043 4688008 5003547 5636976 6106724 6671396 7032012 8690338 9160086 9376016 10007094 12213448 13035507 13342792 14064024 17380676 18320172 20014188 21682037 24426896 26071014 26685584 28128048 34761352 36640344 40028376 43364074 52142028 56487197 65046111 69522704 73280688 80056752 86728148 104284056 112974394 130092222 169461591 173456296 208568112 225948788 260184444 338923182 346912592 451897576 520368888 677846364 903795152 1040737776 1355692728 2711385456 5293707649 10587415298 15881122947 21174830596 31762245894 42349661192 63524491788 68818199437 84699322384 127048983576 137636398874 195867183013 206454598311 254097967152 275272797748 391734366026 412909196622 550545595496 587601549039 783468732052 825818393244 1101091190992 1175203098078 1566937464104 1651636786488 2350406196156 2546273379169 3133874928208 3303273572976 4700812392312 5092546758338 7638820137507 9401624784624 10185093516676 15277640275014 20370187033352 30555280550028 40740374066704 61110561100056 122221122200112