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12122210010112 = 210292231830539
BaseRepresentation
bin1011000001100110110000…
…0001011000010000000000
31120220212112122202212020021
42300121230001120100000
53042102241230310422
641440511050423224
72360541443655046
oct260315401302000
946825478685207
1012122210010112
113954000586264
121439447731b14
1369c172701937
142dca0a64a396
151604d6e1ddc7
hexb066c058400

12122210010112 has 88 divisors (see below), whose sum is σ = 25180615353600. Its totient is φ = 5825855594496.

The previous prime is 12122210010061. The next prime is 12122210010121. The reversal of 12122210010112 is 21101001222121.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5706939 + ... + 7537477.

Almost surely, 212122210010112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122210010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12590307676800).

12122210010112 is an abundant number, since it is smaller than the sum of its proper divisors (13058405343488).

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

12122210010112 is a wasteful number, since it uses less digits than its factorization.

12122210010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830811 (or 1830793 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12122210010112 its reverse (21101001222121), we get a palindrome (33223211232233).

The spelling of 12122210010112 in words is "twelve trillion, one hundred twenty-two billion, two hundred ten million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 223 232 256 446 464 512 892 928 1024 1784 1856 3568 3712 6467 7136 7424 12934 14272 14848 25868 28544 29696 51736 57088 103472 114176 206944 228352 413888 827776 1655552 1830539 3311104 3661078 6622208 7322156 14644312 29288624 53085631 58577248 106171262 117154496 212342524 234308992 408210197 424685048 468617984 816420394 849370096 937235968 1632840788 1698740192 1874471936 3265681576 3397480384 6531363152 6794960768 11838095713 13062726304 13589921536 23676191426 26125452608 27179843072 47352382852 52250905216 54359686144 94704765704 104501810432 189409531408 209003620864 378819062816 418007241728 757638125632 1515276251264 3030552502528 6061105005056 12122210010112