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12210112120 = 23519235471277
BaseRepresentation
bin10110101111100011…
…11000011001111000
31011111221110221222211
423113301320121320
5200001242041440
65335333024504
7611402145343
oct132761703170
934457427884
1012210112120
1151a6320a58
122449185134
1311c784c71b
1483b8b345a
154b6e25eea
hex2d7c78678

12210112120 has 128 divisors (see below), whose sum is σ = 30254860800. Its totient is φ = 4414265856.

The previous prime is 12210112091. The next prime is 12210112129. The reversal of 12210112120 is 2121101221.

It is a self number, because there is not a number n which added to its sum of digits gives 12210112120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210112129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9560922 + ... + 9562198.

It is an arithmetic number, because the mean of its divisors is an integer number (236366100).

Almost surely, 212210112120 is an apocalyptic number.

12210112120 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 12210112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15127430400).

12210112120 is an abundant number, since it is smaller than the sum of its proper divisors (18044748680).

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

12210112120 is a wasteful number, since it uses less digits than its factorization.

12210112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12210112120 its reverse (2121101221), we get a palindrome (14331213341).

The spelling of 12210112120 in words is "twelve billion, two hundred ten million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 23 38 40 46 76 92 95 115 152 184 190 230 380 437 460 547 760 874 920 1094 1277 1748 2185 2188 2554 2735 3496 4370 4376 5108 5470 6385 8740 10216 10393 10940 12581 12770 17480 20786 21880 24263 25162 25540 29371 41572 48526 50324 51080 51965 58742 62905 83144 97052 100648 103930 117484 121315 125810 146855 194104 207860 234968 239039 242630 251620 293710 415720 478078 485260 503240 558049 587420 698519 956156 970520 1116098 1174840 1195195 1397038 1912312 2232196 2390390 2790245 2794076 3492595 4464392 4780780 5580490 5588152 6985190 9561560 11160980 13271861 13970380 16065937 22321960 26543722 27940760 32131874 53087444 64263748 66359305 80329685 106174888 128527496 132718610 160659370 265437220 305252803 321318740 530874440 610505606 642637480 1221011212 1526264015 2442022424 3052528030 6105056060 12210112120