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122232244324140 = 223251956962812693
BaseRepresentation
bin11011110010101101101001…
…100000001100011100101100
3121000210021210021021221201100
4123302231221200030130230
5112010123114021333030
61111544415015443100
734513662650652156
oct3362555140143454
9530707707257640
10122232244324140
1135a46449373165
1211861517386490
1353285b3325742
142228102143ad6
15e1e81b756360
hex6f2b6980c72c

122232244324140 has 144 divisors (see below), whose sum is σ = 390971332533600. Its totient is φ = 30825454224384.

The previous prime is 122232244324123. The next prime is 122232244324147. The reversal of 122232244324140 is 41423442232221.

122232244324140 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 322 + 4 + 4 + 324 + 1 + 4 + 0 = 666.

It is a super-3 number, since 3×1222322443241403 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 122232244324095 and 122232244324104.

It is not an unprimeable number, because it can be changed into a prime (122232244324147) by changing a digit.

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, 29460367 + ... + 33352326.

It is an arithmetic number, because the mean of its divisors is an integer number (2715078698150).

Almost surely, 2122232244324140 is an apocalyptic number.

122232244324140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122232244324140 is an abundant number, since it is smaller than the sum of its proper divisors (268739088209460).

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

122232244324140 is a wasteful number, since it uses less digits than its factorization.

122232244324140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62813296 (or 62813291 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 122232244324140 its reverse (41423442232221), we get a palindrome (163655686556361).

The spelling of 122232244324140 in words is "one hundred twenty-two trillion, two hundred thirty-two billion, two hundred forty-four million, three hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 569 570 684 855 1138 1140 1707 1710 2276 2845 3414 3420 5121 5690 6828 8535 10242 10811 11380 17070 20484 21622 25605 32433 34140 43244 51210 54055 64866 97299 102420 108110 129732 162165 194598 216220 324330 389196 486495 648660 972990 1945980 62812693 125625386 188438079 251250772 314063465 376876158 565314237 628126930 753752316 942190395 1130628474 1193441167 1256253860 1884380790 2261256948 2386882334 2826571185 3580323501 3768761580 4773764668 5653142370 5967205835 7160647002 10740970503 11306284740 11934411670 14321294004 17901617505 21481941006 23868823340 35740422317 35803235010 42963882012 53704852515 71480844634 71606470020 107221266951 107409705030 142961689268 178702111585 214442533902 214819410060 321663800853 357404223170 428885067804 536106334755 643327601706 679068024023 714808446340 1072212669510 1286655203412 1358136048046 1608319004265 2037204072069 2144425339020 2716272096092 3216638008530 3395340120115 4074408144138 6111612216207 6433276017060 6790680240230 8148816288276 10186020360345 12223224432414 13581360480460 20372040720690 24446448864828 30558061081035 40744081441380 61116122162070 122232244324140