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20122000011120 = 2435713191430389
BaseRepresentation
bin1001001001101000001001…
…01010011010111101110000
32122020122101210000012122010
410210310010222122331300
510114134324000323440
6110443530313442520
74144523630013330
oct444640452327560
978218353005563
1020122000011120
116458768477107
12230b941110440
13b2c65b94a527
144d7ca50630c0
1524d645702580
hex124d04a9af70

20122000011120 has 160 divisors (see below), whose sum is σ = 71833565928960. Its totient is φ = 4564204968960.

The previous prime is 20122000011083. The next prime is 20122000011161. The reversal of 20122000011120 is 2111000022102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20122000011096 and 20122000011105.

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, 45495115 + ... + 45935274.

It is an arithmetic number, because the mean of its divisors is an integer number (448959787056).

Almost surely, 220122000011120 is an apocalyptic number.

20122000011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122000011120 is an abundant number, since it is smaller than the sum of its proper divisors (51711565917840).

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

20122000011120 is a wasteful number, since it uses less digits than its factorization.

20122000011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91430543 (or 91430537 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20122000011120 its reverse (2111000022102), we get a palindrome (22233000033222).

The spelling of 20122000011120 in words is "twenty trillion, one hundred twenty-two billion, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 131 140 168 210 240 262 280 336 393 420 524 560 655 786 840 917 1048 1310 1572 1680 1834 1965 2096 2620 2751 3144 3668 3930 4585 5240 5502 6288 7336 7860 9170 10480 11004 13755 14672 15720 18340 22008 27510 31440 36680 44016 55020 73360 110040 220080 91430389 182860778 274291167 365721556 457151945 548582334 640012723 731443112 914303890 1097164668 1280025446 1371455835 1462886224 1828607780 1920038169 2194329336 2560050892 2742911670 3200063615 3657215560 3840076338 4388658672 5120101784 5485823340 6400127230 7314431120 7680152676 9600190845 10240203568 10971646680 11977380959 12800254460 15360305352 19200381690 21943293360 23954761918 25600508920 30720610704 35932142877 38400763380 47909523836 51201017840 59886904795 71864285754 76801526760 83841666713 95819047672 119773809590 143728571508 153603053520 167683333426 179660714385 191638095344 239547619180 251525000139 287457143016 335366666852 359321428770 419208333565 479095238360 503050000278 574914286032 670733333704 718642857540 838416667130 958190476720 1006100000556 1257625000695 1341466667408 1437285715080 1676833334260 2012200001112 2515250001390 2874571430160 3353666668520 4024400002224 5030500002780 6707333337040 10061000005560 20122000011120