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20122201200200 = 23521125033654197
BaseRepresentation
bin1001001001101000100001…
…01001111001011001001000
32122020122220210120200011112
410210310100221321121020
510114140232001401300
6110444002301545452
74144531622052401
oct444642051713110
978218823520145
1020122201200200
116458860aa1480
12230b998575288
13b2c69152cb18
144d7cc3a749a8
1524d6581e3e35
hex124d10a79648

20122201200200 has 96 divisors (see below), whose sum is σ = 51057623799360. Its totient is φ = 7314238713600.

The previous prime is 20122201200191. The next prime is 20122201200223. The reversal of 20122201200200 is 200210222102.

It is a super-2 number, since 2×201222012002002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3679502 + ... + 7333698.

It is an arithmetic number, because the mean of its divisors is an integer number (531850247910).

Almost surely, 220122201200200 is an apocalyptic number.

20122201200200 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 20122201200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25528811899680).

20122201200200 is an abundant number, since it is smaller than the sum of its proper divisors (30935422599160).

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

20122201200200 is a wasteful number, since it uses less digits than its factorization.

20122201200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3656727 (or 3656718 counting only the distinct ones).

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

Adding to 20122201200200 its reverse (200210222102), we get a palindrome (20322411422302).

The spelling of 20122201200200 in words is "twenty trillion, one hundred twenty-two billion, two hundred one million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 2503 5006 10012 12515 20024 25030 27533 50060 55066 62575 100120 110132 125150 137665 220264 250300 275330 500600 550660 688325 1101320 1376650 2753300 3654197 5506600 7308394 14616788 18270985 29233576 36541970 40196167 73083940 80392334 91354925 146167880 160784668 182709850 200980835 321569336 365419700 401961670 730839400 803923340 1004904175 1607846680 2009808350 4019616700 8039233400 9146455091 18292910182 36585820364 45732275455 73171640728 91464550910 100611006001 182929101820 201222012002 228661377275 365858203640 402444024004 457322754550 503055030005 804888048008 914645509100 1006110060010 1829291018200 2012220120020 2515275150025 4024440240040 5030550300050 10061100600100 20122201200200