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12223440120 = 23353112725873
BaseRepresentation
bin10110110001001001…
…01110010011111000
31011112212120002120110
423120210232103320
5200013200040440
65340530424320
7611623345443
oct133044562370
934485502513
1012223440120
1152028a4531
1224517320a0
1311ca538008
1483d58265a
154b81aa080
hex2d892e4f8

12223440120 has 128 divisors (see below), whose sum is σ = 38152765440. Its totient is φ = 3129477120.

The previous prime is 12223440101. The next prime is 12223440127. The reversal of 12223440120 is 2104432221.

12223440120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122234401202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12223440127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 459504 + ... + 485376.

It is an arithmetic number, because the mean of its divisors is an integer number (298068480).

Almost surely, 212223440120 is an apocalyptic number.

12223440120 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 12223440120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19076382720).

12223440120 is an abundant number, since it is smaller than the sum of its proper divisors (25929325320).

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

12223440120 is a wasteful number, since it uses less digits than its factorization.

12223440120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26045 (or 26041 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 12223440120 its reverse (2104432221), we get a palindrome (14327872341).

The spelling of 12223440120 in words is "twelve billion, two hundred twenty-three million, four hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 127 155 186 248 254 310 372 381 465 508 620 635 744 762 930 1016 1240 1270 1524 1860 1905 2540 3048 3720 3810 3937 5080 7620 7874 11811 15240 15748 19685 23622 25873 31496 39370 47244 51746 59055 77619 78740 94488 103492 118110 129365 155238 157480 206984 236220 258730 310476 388095 472440 517460 620952 776190 802063 1034920 1552380 1604126 2406189 3104760 3208252 3285871 4010315 4812378 6416504 6571742 8020630 9624756 9857613 12030945 13143484 16041260 16429355 19249512 19715226 24061890 26286968 32082520 32858710 39430452 48123780 49288065 65717420 78860904 96247560 98576130 101862001 131434840 197152260 203724002 305586003 394304520 407448004 509310005 611172006 814896008 1018620010 1222344012 1527930015 2037240020 2444688024 3055860030 4074480040 6111720060 12223440120