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21222010200120 = 23353111288944119
BaseRepresentation
bin1001101001101001000100…
…11000010010000000111000
32210010210201101020122001020
410310310202120102000320
510240200134102400440
6113045131253422440
74320145124235402
oct464644230220070
983123641218036
1021222010200120
116842227557264
122468b7433aa20
13bac2c48823a2
14535217a1db72
1526c0770173d0
hex134d22612038

21222010200120 has 128 divisors (see below), whose sum is σ = 63877147776000. Its totient is φ = 5640440417280.

The previous prime is 21222010200109. The next prime is 21222010200143. The reversal of 21222010200120 is 2100201022212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21222010200120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 480995421 + ... + 481039539.

It is an arithmetic number, because the mean of its divisors is an integer number (499040217000).

Almost surely, 221222010200120 is an apocalyptic number.

21222010200120 is a gapful number since it is divisible by the number (20) 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 21222010200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31938573888000).

21222010200120 is an abundant number, since it is smaller than the sum of its proper divisors (42655137575880).

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

21222010200120 is a wasteful number, since it uses less digits than its factorization.

21222010200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57333 (or 57329 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21222010200120 its reverse (2100201022212), we get a palindrome (23322211222332).

The spelling of 21222010200120 in words is "twenty-one trillion, two hundred twenty-two billion, ten million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 311 622 933 1244 1555 1866 2488 3110 3732 4665 6220 7464 9330 12440 12889 18660 25778 37320 38667 44119 51556 64445 77334 88238 103112 128890 132357 154668 176476 193335 220595 257780 264714 309336 352952 386670 441190 515560 529428 661785 773340 882380 1058856 1323570 1546680 1764760 2647140 4008479 5294280 8016958 12025437 13721009 16033916 20042395 24050874 27442018 32067832 40084790 41163027 48101748 54884036 60127185 68605045 80169580 82326054 96203496 109768072 120254370 137210090 160339160 164652108 205815135 240508740 274420180 329304216 411630270 481017480 548840360 568649791 823260540 1137299582 1646521080 1705949373 2274599164 2843248955 3411898746 4549198328 5686497910 6823797492 8529746865 11372995820 13647594984 17059493730 22745991640 34118987460 68237974920 176850085001 353700170002 530550255003 707400340004 884250425005 1061100510006 1414800680008 1768500850010 2122201020012 2652751275015 3537001700020 4244402040024 5305502550030 7074003400040 10611005100060 21222010200120