Search a number
-
+
122101221110220 = 2232511317194534017
BaseRepresentation
bin11011110000110011100111…
…111010010011000111001100
3121000022202121001000001110200
4123300303213322103013030
5112001001300101011340
61111404305425333500
734501344041010642
oct3360634772230714
9530282531001420
10122101221110220
11359a59231652a0
121184004ba97290
1353191324767b1
142221a32c07192
15e1b1edb78330
hex6f0ce7e931cc

122101221110220 has 144 divisors (see below), whose sum is σ = 405318629727648. Its totient is φ = 29506919546880.

The previous prime is 122101221110191. The next prime is 122101221110221. The reversal of 122101221110220 is 22011122101221.

122101221110220 is a `hidden beast` number, since 1 + 2 + 210 + 1 + 221 + 1 + 10 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122101221110193 and 122101221110202.

It is not an unprimeable number, because it can be changed into a prime (122101221110221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96639349 + ... + 97894668.

It is an arithmetic number, because the mean of its divisors is an integer number (2814712706442).

Almost surely, 2122101221110220 is an apocalyptic number.

122101221110220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122101221110220 is an abundant number, since it is smaller than the sum of its proper divisors (283217408617428).

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

122101221110220 is a wasteful number, since it uses less digits than its factorization.

122101221110220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194534360 (or 194534355 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122101221110220 its reverse (22011122101221), we get a palindrome (144112343211441).

The spelling of 122101221110220 in words is "one hundred twenty-two trillion, one hundred one billion, two hundred twenty-one million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 317 330 396 495 634 660 951 990 1268 1585 1902 1980 2853 3170 3487 3804 4755 5706 6340 6974 9510 10461 11412 13948 14265 17435 19020 20922 28530 31383 34870 41844 52305 57060 62766 69740 104610 125532 156915 209220 313830 627660 194534017 389068034 583602051 778136068 972670085 1167204102 1750806153 1945340170 2139874187 2334408204 2918010255 3501612306 3890680340 4279748374 5836020510 6419622561 7003224612 8559496748 8754030765 10699370935 11672041020 12839245122 17508061530 19258867683 21398741870 25678490244 32098112805 35016123060 38517735366 42797483740 61667283389 64196225610 77035470732 96294338415 123334566778 128392451220 185001850167 192588676830 246669133556 308336416945 370003700334 385177353660 555005550501 616672833890 678340117279 740007400668 925009250835 1110011101002 1233345667780 1356680234558 1850018501670 2035020351837 2220022202004 2713360469116 2775027752505 3391700586395 3700037003340 4070040703674 5550055505010 6105061055511 6783401172790 8140081407348 10175101759185 11100111010020 12210122111022 13566802345580 20350203518370 24420244222044 30525305277555 40700407036740 61050610555110 122101221110220