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122012221012220 = 225721153617211097
BaseRepresentation
bin11011101111100000101111…
…000101110111100011111100
3121000000020212110121122000202
4123233200233011313203330
5111443022012034342340
61111255350204343032
734462043402446400
oct3357405705674374
9530006773548022
10122012221012220
1135971101a003a0
1211826951b44a78
13531091a858c06
14221b5cca2d100
15e18c404adc15
hex6ef82f1778fc

122012221012220 has 144 divisors (see below), whose sum is σ = 325162250858592. Its totient is φ = 38028893736960.

The previous prime is 122012221012169. The next prime is 122012221012223. The reversal of 122012221012220 is 22210122210221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122012221012192 and 122012221012201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122012221012223) by changing a digit.

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, 577885712 + ... + 578096808.

It is an arithmetic number, because the mean of its divisors is an integer number (2258071186518).

Almost surely, 2122012221012220 is an apocalyptic number.

122012221012220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122012221012220 is an abundant number, since it is smaller than the sum of its proper divisors (203150029846372).

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

122012221012220 is a wasteful number, since it uses less digits than its factorization.

122012221012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264748 (or 264739 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 122012221012220 its reverse (22210122210221), we get a palindrome (144222343222441).

The spelling of 122012221012220 in words is "one hundred twenty-two trillion, twelve billion, two hundred twenty-one million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 490 539 770 980 1078 1540 2156 2695 5390 10780 53617 107234 211097 214468 268085 375319 422194 536170 589787 750638 844388 1055485 1072340 1179574 1477679 1501276 1876595 2110970 2322067 2359148 2627233 2948935 2955358 3753190 4128509 4221940 4644134 5254466 5897870 5910716 7388395 7506380 8257018 9288268 10343753 10508932 11610335 11795740 13136165 14776790 16254469 16514036 20642545 20687506 23220670 26272330 28899563 29553580 32508938 41285090 41375012 46441340 51718765 52544660 57799126 65017876 81272345 82570180 103437530 113781283 115598252 144497815 162544690 206875060 227562566 288995630 325089380 455125132 568906415 577991260 1137812830 2275625660 11318387849 22636775698 45273551396 56591939245 79228714943 113183878490 124502266339 158457429886 226367756980 249004532678 316914859772 396143574715 498009065356 554601004601 622511331695 792287149430 871515864373 1109202009202 1245022663390 1584574298860 1743031728746 2218404018404 2490045326780 2773005023005 3486063457492 4357579321865 5546010046010 6100611050611 8715158643730 11092020092020 12201222101222 17430317287460 24402444202444 30503055253055 61006110506110 122012221012220