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21221220121112 = 2311259409908489
BaseRepresentation
bin1001101001100111100110…
…10010010111101000011000
32210010201200022120110101202
410310303303102113220120
510240142024322333422
6113044521031333332
74320116421542144
oct464636322275030
983121608513352
1021221220121112
116841961582200
122468993821248
13bac1c9c9410b
14535180b18224
1526c02c99eb92
hex134cf3497a18

21221220121112 has 96 divisors (see below), whose sum is σ = 44585963730000. Its totient is φ = 9459322414080.

The previous prime is 21221220121093. The next prime is 21221220121121. The reversal of 21221220121112 is 21112102212212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22904564 + ... + 23813052.

Almost surely, 221221220121112 is an apocalyptic number.

21221220121112 is a gapful number since it is divisible by the number (22) 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 21221220121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22292981865000).

21221220121112 is an abundant number, since it is smaller than the sum of its proper divisors (23364743608888).

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

21221220121112 is a wasteful number, since it uses less digits than its factorization.

21221220121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908985 (or 908970 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 21221220121112 its reverse (21112102212212), we get a palindrome (42333322333324).

Subtracting from 21221220121112 its reverse (21112102212212), we obtain a square (109117908900 = 3303302).

The spelling of 21221220121112 in words is "twenty-one trillion, two hundred twenty-one billion, two hundred twenty million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 59 88 118 121 236 242 409 472 484 649 818 968 1298 1636 2596 3272 4499 5192 7139 8998 14278 17996 24131 28556 35992 48262 49489 57112 96524 98978 193048 197956 265441 395912 530882 908489 1061764 1816978 2123528 2919851 3633956 5839702 7267912 9993379 11679404 19986758 23358808 39973516 53600851 79947032 107201702 109927169 214403404 219854338 371572001 428806808 439708676 589609361 743144002 879417352 1179218722 1486288004 2358437444 2972576008 4087292011 4716874888 6485702971 8174584022 12971405942 16349168044 21922748059 25942811884 32698336088 43845496118 44960212121 51885623768 87690992236 89920424242 175381984472 179840848484 241150228649 359681696968 482300457298 964600914596 1929201829192 2652652515139 5305305030278 10610610060556 21221220121112