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22001121202000 = 245319964186239
BaseRepresentation
bin1010000000010100010010…
…00000111000111101010000
32212220021201222001022121211
411000022021000320331100
510340431244011431000
6114443101530225504
74430346202416313
oct500121100707520
985807658038554
1022001121202000
117012694394546
122573b6ab85294
13c37909c10335
14560c079a897a
152824764d67ba
hex140289038f50

22001121202000 has 160 divisors (see below), whose sum is σ = 53550072576000. Its totient is φ = 8742463488000.

The previous prime is 22001121201973. The next prime is 22001121202001. The reversal of 22001121202000 is 20212110022.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22001121202001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255074881 + ... + 255161119.

It is an arithmetic number, because the mean of its divisors is an integer number (334687953600).

Almost surely, 222001121202000 is an apocalyptic number.

22001121202000 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 22001121202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26775036288000).

22001121202000 is an abundant number, since it is smaller than the sum of its proper divisors (31548951374000).

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

22001121202000 is a wasteful number, since it uses less digits than its factorization.

22001121202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87102 (or 87086 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22001121202000 its reverse (20212110022), we get a palindrome (22021333312022).

The spelling of 22001121202000 in words is "twenty-two trillion, one billion, one hundred twenty-one million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 199 200 250 398 400 500 641 796 995 1000 1282 1592 1990 2000 2564 3184 3205 3980 4975 5128 6410 7960 9950 10256 12820 15920 16025 19900 24875 25640 32050 39800 49750 51280 64100 79600 80125 86239 99500 127559 128200 160250 172478 199000 255118 256400 320500 344956 398000 431195 510236 637795 641000 689912 862390 1020472 1275590 1282000 1379824 1724780 2040944 2155975 2551180 3188975 3449560 4311950 5102360 6377950 6899120 8623900 10204720 10779875 12755900 15944875 17161561 17247800 21559750 25511800 31889750 34323122 34495600 43119500 51023600 55279199 63779500 68646244 85807805 86239000 110558398 127559000 137292488 171615610 172478000 221116796 255118000 274584976 276395995 343231220 429039025 442233592 552791990 686462440 858078050 884467184 1105583980 1372924880 1381979975 1716156100 2145195125 2211167960 2763959950 3432312200 4290390250 4422335920 5527919900 6864624400 6909899875 8580780500 11000560601 11055839800 13819799750 17161561000 22001121202 22111679600 27639599500 34323122000 44002242404 55002803005 55279199000 88004484808 110005606010 110558398000 176008969616 220011212020 275014015025 440022424040 550028030050 880044848080 1100056060100 1375070075125 2200112120200 2750140150250 4400224240400 5500280300500 11000560601000 22001121202000