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12122110222220 = 22531599123726387
BaseRepresentation
bin1011000001100110011000…
…0100101101111110001100
31120220212021201000002222102
42300121212010231332030
53042102040204102340
641440453123534232
72360536122535205
oct260314604557614
946825251002872
1012122110222220
113953a5a21a129
12143941a22a378
1369c157b3384b
142dc9db2b25ac
151604cd2ac215
hexb066612df8c

12122110222220 has 96 divisors (see below), whose sum is σ = 26343752601600. Its totient is φ = 4680631537920.

The previous prime is 12122110222207. The next prime is 12122110222273. The reversal of 12122110222220 is 2222201122121.

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 = 12122110222192 and 12122110222201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 459383867 + ... + 459410253.

It is an arithmetic number, because the mean of its divisors is an integer number (274414089600).

Almost surely, 212122110222220 is an apocalyptic number.

12122110222220 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 12122110222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13171876300800).

12122110222220 is an abundant number, since it is smaller than the sum of its proper divisors (14221642379380).

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

12122110222220 is a wasteful number, since it uses less digits than its factorization.

12122110222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28263 (or 28261 counting only the distinct ones).

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

Adding to 12122110222220 its reverse (2222201122121), we get a palindrome (14344311344341).

The spelling of 12122110222220 in words is "twelve trillion, one hundred twenty-two billion, one hundred ten million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 599 620 1198 1237 2396 2474 2995 4948 5990 6185 11980 12370 18569 24740 26387 37138 38347 52774 74276 76694 92845 105548 131935 153388 185690 191735 263870 371380 383470 527740 740963 766940 817997 1481926 1635994 2963852 3271988 3704815 4089985 7409630 8179970 14819260 15805813 16359940 22969853 31611626 32640719 45939706 63223252 65281438 79029065 91879412 114849265 130562876 158058130 163203595 229698530 316116260 326407190 459397060 489980203 652814380 979960406 1011862289 1959920812 2023724578 2449901015 4047449156 4899802030 5059311445 9799604060 10118622890 19551790681 20237245780 39103581362 78207162724 97758953405 195517906810 391035813620 606105511111 1212211022222 2424422044444 3030527555555 6061055111110 12122110222220