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122240262667660 = 225192107193819853
BaseRepresentation
bin11011110010110101000111…
…011011101111110110001100
3121000211001111002020000012021
4123302311013123233312030
5112010241024220331120
61111552222412415524
734514365443522034
oct3362650733576614
9530731432200167
10122240262667660
1135a4989352a345
1211862b947775a4
1353292905bbcc7
1422286630248c4
15e1eb3a676aaa
hex6f2d476efd8c

122240262667660 has 144 divisors (see below), whose sum is σ = 274875651290016. Its totient is φ = 45651877945344.

The previous prime is 122240262667597. The next prime is 122240262667727. The reversal of 122240262667660 is 66766262042221.

It is a super-2 number, since 2×1222402626676602 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122240262667598 and 122240262667607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148690294 + ... + 149510146.

It is an arithmetic number, because the mean of its divisors is an integer number (1908858689514).

Almost surely, 2122240262667660 is an apocalyptic number.

122240262667660 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 122240262667660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137437825645008).

122240262667660 is an abundant number, since it is smaller than the sum of its proper divisors (152635388622356).

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

122240262667660 is a wasteful number, since it uses less digits than its factorization.

122240262667660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820200 (or 820179 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 52.

The spelling of 122240262667660 in words is "one hundred twenty-two trillion, two hundred forty billion, two hundred sixty-two million, six hundred sixty-seven thousand, six hundred sixty".

Divisors: 1 2 4 5 10 19 20 38 76 95 107 190 193 214 361 380 386 428 535 722 772 965 1070 1444 1805 1930 2033 2140 3610 3667 3860 4066 7220 7334 8132 10165 14668 18335 20330 20651 36670 38627 40660 41302 69673 73340 77254 82604 103255 139346 154508 193135 206510 278692 348365 386270 392369 413020 696730 772540 784738 819853 1393460 1569476 1639706 1961845 3279412 3923690 4099265 7455011 7847380 8198530 14910022 15577207 16397060 29820044 31154414 37275055 62308828 74550110 77886035 87724271 149100220 155772070 158231629 175448542 295966933 311544140 316463258 350897084 438621355 591933866 632926516 791158145 877242710 1183867732 1479834665 1582316290 1666761149 1754485420 2959669330 3006400951 3164632580 3333522298 5919338660 6012801902 6667044596 8333805745 12025603804 15032004755 16667611490 16930784303 30064009510 31668461831 33335222980 33861568606 57121618069 60128019020 63336923662 67723137212 84653921515 114243236138 126673847324 158342309155 169307843030 228486472276 285608090345 316684618310 321684901757 338615686060 571216180690 633369236620 643369803514 1142432361380 1286739607028 1608424508785 3216849017570 6112013133383 6433698035140 12224026266766 24448052533532 30560065666915 61120131333830 122240262667660