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121222112221120 = 2654392341368609
BaseRepresentation
bin11011100100000000111000…
…111100000001011111000000
3120220012201110102112100211111
4123210000320330001133000
5111342100341212033440
61105452400343053104
734351002642521161
oct3344007074013700
9526181412470744
10121222112221120
1135697011105309
12117197a8141194
135284271b98991
1421d12781cb768
15e033ea73a4ea
hex6e4038f017c0

121222112221120 has 112 divisors (see below), whose sum is σ = 289442067393600. Its totient is φ = 48357595054080.

The previous prime is 121222112221103. The next prime is 121222112221129. The reversal of 121222112221120 is 21122211222121.

It is a junction number, because it is equal to n+sod(n) for n = 121222112221091 and 121222112221100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121222112221129) 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 15 ways as a sum of consecutive naturals, for example, 328679376 + ... + 329047984.

Almost surely, 2121222112221120 is an apocalyptic number.

121222112221120 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 121222112221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144721033696800).

121222112221120 is an abundant number, since it is smaller than the sum of its proper divisors (168219955172480).

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

121222112221120 is a wasteful number, since it uses less digits than its factorization.

121222112221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371406 (or 371396 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 121222112221120 its reverse (21122211222121), we get a palindrome (142344323443241).

The spelling of 121222112221120 in words is "one hundred twenty-one trillion, two hundred twenty-two billion, one hundred twelve million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 439 878 1756 2195 2341 3512 4390 4682 7024 8780 9364 11705 14048 17560 18728 23410 28096 35120 37456 46820 70240 74912 93640 140480 149824 187280 368609 374560 737218 749120 1027699 1474436 1843045 2055398 2948872 3686090 4110796 5138495 5897744 7372180 8221592 10276990 11795488 14744360 16443184 20553980 23590976 29488720 32886368 41107960 58977440 65772736 82215920 117954880 161819351 164431840 323638702 328863680 647277404 809096755 862913669 1294554808 1618193510 1725827338 2589109616 3236387020 3451654676 4314568345 5178219232 6472774040 6903309352 8629136690 10356438464 12945548080 13806618704 17258273380 25891096160 27613237408 34516546760 51782192320 55226474816 69033093520 138066187040 276132374080 378819100691 757638201382 1515276402764 1894095503455 3030552805528 3788191006910 6061105611056 7576382013820 12122211222112 15152764027640 24244422444224 30305528055280 60611056110560 121222112221120