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123220122300220 = 225114315443843449
BaseRepresentation
bin11100000001000101101011…
…100111100110111100111100
3121011021201200011222202111111
4130001011223213212330330
5112122314302302101340
61114022313121131404
734645234333133461
oct3401055347467474
9534251604882444
10123220122300220
11362973a6773070
12119a0a75789b64
13539a7b90a455a
14225dc58687668
15e3a388b96aea
hex70116b9e6f3c

123220122300220 has 96 divisors (see below), whose sum is σ = 288869938156800. Its totient is φ = 43762400693760.

The previous prime is 123220122300113. The next prime is 123220122300221. The reversal of 123220122300220 is 22003221022321.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 123220122300191 and 123220122300200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123220122300221) 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, 145669056 + ... + 146512504.

It is an arithmetic number, because the mean of its divisors is an integer number (3009061855800).

Almost surely, 2123220122300220 is an apocalyptic number.

123220122300220 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 123220122300220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144434969078400).

123220122300220 is an abundant number, since it is smaller than the sum of its proper divisors (165649815856580).

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

123220122300220 is a wasteful number, since it uses less digits than its factorization.

123220122300220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858955 (or 858953 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 123220122300220 its reverse (22003221022321), we get a palindrome (145223343322541).

The spelling of 123220122300220 in words is "one hundred twenty-three trillion, two hundred twenty billion, one hundred twenty-two million, three hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 215 220 430 473 860 946 1892 2365 4730 9460 15443 30886 61772 77215 154430 169873 308860 339746 664049 679492 843449 849365 1328098 1686898 1698730 2656196 3320245 3373796 3397460 4217245 6640490 7304539 8434490 9277939 13280980 14609078 16868980 18555878 29218156 36268307 36522695 37111756 46389695 72536614 73045390 92779390 145073228 146090780 181341535 185558780 362683070 398951377 725366140 797902754 1595805508 1994756885 3989513770 7979027540 13025382907 26050765814 52101531628 65126914535 130253829070 143279211977 260507658140 286558423954 560091465001 573116847908 716396059885 1120182930002 1432792119770 2240365860004 2800457325005 2865584239540 5600914650010 6161006115011 11201829300020 12322012230022 24644024460044 30805030575055 61610061150110 123220122300220