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110221222000120 = 23572115112301577
BaseRepresentation
bin11001000011111011100000…
…110010001011010111111000
3112110021001020110202202212221
4121003323200302023113320
5103421331030313000440
61030230532543013424
732134135426505200
oct3103734062132770
9473231213682787
10110221222000120
11321356153a3170
121044174029a274
134966a801c334a
141d30a42723400
15cb2190d36d4a
hex643ee0c8b5f8

110221222000120 has 96 divisors (see below), whose sum is σ = 314713285141680. Its totient is φ = 34354666590720.

The previous prime is 110221222000117. The next prime is 110221222000121. The reversal of 110221222000120 is 21000222122011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 110221222000094 and 110221222000103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110221222000121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2556129229 + ... + 2556172348.

Almost surely, 2110221222000120 is an apocalyptic number.

110221222000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110221222000120 is an abundant number, since it is smaller than the sum of its proper divisors (204492063141560).

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

110221222000120 is a wasteful number, since it uses less digits than its factorization.

110221222000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5112301613 (or 5112301602 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 110221222000120 its reverse (21000222122011), we get a palindrome (131221444122131).

The spelling of 110221222000120 in words is "one hundred ten trillion, two hundred twenty-one billion, two hundred twenty-two million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 49 55 56 70 77 88 98 110 140 154 196 220 245 280 308 385 392 440 490 539 616 770 980 1078 1540 1960 2156 2695 3080 4312 5390 10780 21560 5112301577 10224603154 20449206308 25561507885 35786111039 40898412616 51123015770 56235317347 71572222078 102246031540 112470634694 143144444156 178930555195 204492063080 224941269388 250502777273 281176586735 286288888312 357861110390 393647221429 449882538776 501005554546 562353173470 715722220780 787294442858 1002011109092 1124706346940 1252513886365 1431444441560 1574588885716 1968236107145 2004022218184 2249412693880 2505027772730 2755530550003 3149177771432 3936472214290 5010055545460 5511061100006 7872944428580 10020111090920 11022122200012 13777652750015 15745888857160 22044244400024 27555305500030 55110611000060 110221222000120