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22000220021120 = 2751111149280297
BaseRepresentation
bin1010000000010010100110…
…10011001010000110000000
32212220012102011022120212012
411000021103103022012000
510340422422311133440
6114442432254552052
74430314650461645
oct500112323120600
985805364276765
1022000220021120
117012271725a60
122573959208628
13c377c52c2303
14560b60021dcc
15282422324e65
hex1402534ca180

22000220021120 has 128 divisors (see below), whose sum is σ = 57380924772000. Its totient is φ = 7999333908480.

The previous prime is 22000220021099. The next prime is 22000220021191. The reversal of 22000220021120 is 2112002200022.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 22000220021095 and 22000220021104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78348812 + ... + 78629108.

Almost surely, 222000220021120 is an apocalyptic number.

22000220021120 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 22000220021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28690462386000).

22000220021120 is an abundant number, since it is smaller than the sum of its proper divisors (35380704750880).

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

22000220021120 is a wasteful number, since it uses less digits than its factorization.

22000220021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291476 (or 291464 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22000220021120 its reverse (2112002200022), we get a palindrome (24112222221142).

The spelling of 22000220021120 in words is "twenty-two trillion, two hundred twenty million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 11149 22298 44596 55745 89192 111490 122639 178384 222980 245278 280297 356768 445960 490556 560594 613195 713536 891920 981112 1121188 1226390 1401485 1427072 1783840 1962224 2242376 2452780 2802970 3083267 3567680 3924448 4484752 4905560 5605940 6166534 7135360 7848896 8969504 9811120 11211880 12333068 15416335 15697792 17939008 19622240 22423760 24666136 30832670 35878016 39244480 44847520 49332272 61665340 78488960 89695040 98664544 123330680 179390080 197329088 246661360 394658176 493322720 986645440 1973290880 3125031253 6250062506 12500125012 15625156265 25000250024 31250312530 34375343783 50000500048 62500625060 68750687566 100001000096 125001250120 137501375132 171876718915 200002000192 250002500240 275002750264 343753437830 400004000384 500005000480 550005500528 687506875660 1000010000960 1100011001056 1375013751320 2000020001920 2200022002112 2750027502640 4400044004224 5500055005280 11000110010560 22000220021120