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20021202000120 = 23354315601248707
BaseRepresentation
bin1001000110101100011001…
…01000100001100011111000
32121220000012222202201002110
410203112030220201203320
510111011410203000440
6110325340242332320
74134325023034206
oct443261450414370
977800188681073
1020021202000120
116419a42639592
1222b42b005a0a0
13b22cb6a03339
144d3062034076
1524abe63d5080
hex12358ca218f8

20021202000120 has 128 divisors (see below), whose sum is σ = 61464620701440. Its totient is φ = 5214469478400.

The previous prime is 20021202000089. The next prime is 20021202000133. The reversal of 20021202000120 is 2100020212002.

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 = 20021202000096 and 20021202000105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80376807 + ... + 80625513.

It is an arithmetic number, because the mean of its divisors is an integer number (480192349230).

Almost surely, 220021202000120 is an apocalyptic number.

20021202000120 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 20021202000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30732310350720).

20021202000120 is an abundant number, since it is smaller than the sum of its proper divisors (41443418701320).

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

20021202000120 is a wasteful number, since it uses less digits than its factorization.

20021202000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264365 (or 264361 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20021202000120 its reverse (2100020212002), we get a palindrome (22121222212122).

The spelling of 20021202000120 in words is "twenty trillion, twenty-one billion, two hundred two million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 5160 15601 31202 46803 62404 78005 93606 124808 156010 187212 234015 248707 312020 374424 468030 497414 624040 670843 746121 936060 994828 1243535 1341686 1492242 1872120 1989656 2012529 2487070 2683372 2984484 3354215 3730605 4025058 4974140 5366744 5968968 6708430 7461210 8050116 9948280 10062645 10694401 13416860 14922420 16100232 20125290 21388802 26833720 29844840 32083203 40250580 42777604 53472005 64166406 80501160 85555208 106944010 128332812 160416015 213888020 256665624 320832030 427776040 641664060 1283328120 3880077907 7760155814 11640233721 15520311628 19400389535 23280467442 31040623256 38800779070 46560934884 58201168605 77601558140 93121869768 116402337210 155203116280 166843350001 232804674420 333686700002 465609348840 500530050003 667373400004 834216750005 1001060100006 1334746800008 1668433500010 2002120200012 2502650250015 3336867000020 4004240400024 5005300500030 6673734000040 10010601000060 20021202000120