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1221122112112 = 247192325439811
BaseRepresentation
bin10001110001010000100…
…011001011101001110000
311022201221002200120200001
4101301100203023221300
5130001324230041422
62332550432435344
7154136354456560
oct21612043135160
94281832616601
101221122112112
114309696635a1
121787b33a8b54
138b1c75b5bb6
1443161866da0
1521b6e209227
hex11c508cba70

1221122112112 has 160 divisors (see below), whose sum is σ = 2971444101120. Its totient is φ = 474002876160.

The previous prime is 1221122112097. The next prime is 1221122112121. The reversal of 1221122112112 is 2112112211221.

It is a happy number.

It is a super-2 number, since 2×12211221121122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1221122112112.

It is a congruent number.

It is an unprimeable number.

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, 124459687 + ... + 124469497.

It is an arithmetic number, because the mean of its divisors is an integer number (18571525632).

Almost surely, 21221122112112 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 1221122112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485722050560).

1221122112112 is an abundant number, since it is smaller than the sum of its proper divisors (1750321989008).

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

1221122112112 is a wasteful number, since it uses less digits than its factorization.

1221122112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12411 (or 12405 counting only the distinct ones).

The product of its digits is 64, while the sum is 19.

Adding to 1221122112112 its reverse (2112112211221), we get a palindrome (3333234323333).

The spelling of 1221122112112 in words is "one trillion, two hundred twenty-one billion, one hundred twenty-two million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 23 28 38 46 56 76 92 112 133 152 161 184 266 304 322 368 437 532 644 874 1064 1288 1748 2128 2543 2576 3059 3496 5086 6118 6992 9811 10172 12236 17801 19622 20344 24472 35602 39244 40688 48317 48944 58489 68677 71204 78488 96634 116978 137354 142408 156976 186409 193268 225653 233956 274708 284816 338219 372818 386536 409423 451306 467912 549416 676438 745636 773072 818846 902612 935824 1098832 1111291 1304863 1352876 1491272 1579571 1637692 1805224 2222582 2609726 2705752 2982544 3159142 3275384 3610448 4287407 4445164 5219452 5411504 6318284 6550768 7779037 8574814 8890328 10438904 12636568 15558074 17149628 17780656 20877808 24949373 25273136 30011849 31116148 34299256 49898746 60023698 62232296 68598512 99797492 120047396 124464592 174645611 199594984 240094792 349291222 399189968 474038087 480189584 573835579 698582444 948076174 1147671158 1397164888 1896152348 2295342316 2794329776 3318266609 3792304696 4016849053 4590684632 6636533218 7584609392 8033698106 9181369264 10902876001 13273066436 16067396212 21805752002 26546132872 32134792424 43611504004 53092265744 64269584848 76320132007 87223008008 152640264014 174446016016 305280528028 610561056056 1221122112112