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1222221022100 = 22521343109200591
BaseRepresentation
bin10001110010010010000…
…011001100001110010100
311022211202200110222202222
4101302102003030032110
5130011102040201400
62333251450121512
7154205530163021
oct21622203141624
94284680428688
101222221022100
114313829a3971
12178a5b420298
138b3411746b0
14432277a0548
1521bd5927185
hex11c920cc394

1222221022100 has 144 divisors (see below), whose sum is σ = 2949488720640. Its totient is φ = 436740595200.

The previous prime is 1222221022091. The next prime is 1222221022129. The reversal of 1222221022100 is 12201222221.

It is a happy number.

It is a super-3 number, since 3×12222210221003 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5992805 + ... + 6193395.

It is an arithmetic number, because the mean of its divisors is an integer number (20482560560).

Almost surely, 21222221022100 is an apocalyptic number.

1222221022100 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 1222221022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474744360320).

1222221022100 is an abundant number, since it is smaller than the sum of its proper divisors (1727267698540).

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

1222221022100 is a wasteful number, since it uses less digits than its factorization.

1222221022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200770 (or 200763 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 1222221022100 its reverse (12201222221), we get a palindrome (1234422244321).

The spelling of 1222221022100 in words is "one trillion, two hundred twenty-two billion, two hundred twenty-one million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 43 50 52 65 86 100 109 130 172 215 218 260 325 430 436 545 559 650 860 1075 1090 1118 1300 1417 2150 2180 2236 2725 2795 2834 4300 4687 5450 5590 5668 7085 9374 10900 11180 13975 14170 18748 23435 27950 28340 35425 46870 55900 60931 70850 93740 117175 121862 141700 200591 234350 243724 304655 401182 468700 609310 802364 1002955 1218620 1523275 2005910 2607683 3046550 4011820 5014775 5215366 6093100 8625413 10029550 10430732 13038415 17250826 20059100 21864419 26076830 34501652 43127065 43728838 52153660 65192075 86254130 87457676 109322095 112130369 130384150 172508260 215635325 218644190 224260738 260768300 284237447 431270650 437288380 448521476 546610475 560651845 568474894 862541300 940170017 1093220950 1121303690 1136949788 1421187235 1880340034 2186441900 2242607380 2803259225 2842374470 3760680068 4700850085 5606518450 5684748940 7105936175 9401700170 11213036900 12222210221 14211872350 18803400340 23504250425 24444420442 28423744700 47008500850 48888840884 61111051105 94017001700 122222102210 244444204420 305555255525 611110511050 1222221022100