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20122022200112 = 2472193208963659
BaseRepresentation
bin1001001001101000001011…
…11111000100001100110000
32122020122110022202112012122
410210310011333010030300
510114134400140400422
6110443532425213412
74144524316430300
oct444640577041460
978218408675178
1020122022200112
116458779a52018
12230b948631268
13b2c663419101
144d7ca7d9b600
1524d647636d42
hex124d05fc4330

20122022200112 has 120 divisors (see below), whose sum is σ = 45609068221200. Its totient is φ = 8574799822848.

The previous prime is 20122022200039. The next prime is 20122022200141. The reversal of 20122022200112 is 21100222022102.

It is a happy 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 23 ways as a sum of consecutive naturals, for example, 316058939 + ... + 316122597.

It is an arithmetic number, because the mean of its divisors is an integer number (380075568510).

Almost surely, 220122022200112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20122022200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22804534110600).

20122022200112 is an abundant number, since it is smaller than the sum of its proper divisors (25487046021088).

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

20122022200112 is a wasteful number, since it uses less digits than its factorization.

20122022200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65963 (or 65950 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 20122022200112 its reverse (21100222022102), we get a palindrome (41222244222214).

The spelling of 20122022200112 in words is "twenty trillion, one hundred twenty-two billion, twenty-two million, two hundred thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 193 196 386 392 772 784 1351 1544 2089 2702 3088 4178 5404 8356 9457 10808 14623 16712 18914 21616 29246 33424 37828 58492 63659 75656 102361 116984 127318 151312 204722 233968 254636 403177 409444 445613 509272 806354 818888 891226 1018544 1612708 1637776 1782452 2822239 3119291 3225416 3564904 5644478 6238582 6450832 7129808 11288956 12286187 12477164 19755673 22577912 24572374 24954328 39511346 45155824 49144748 49908656 79022692 86003309 98289496 132983651 158045384 172006618 196578992 265967302 316090768 344013236 531934604 602023163 688026472 930885557 1063869208 1204046326 1376052944 1861771114 2127738416 2408092652 3723542228 4816185304 6516198899 7447084456 9632370608 13032397798 14894168912 25665844643 26064795596 51331689286 52129591192 102663378572 104259182384 179660912501 205326757144 359321825002 410653514288 718643650004 1257626387507 1437287300008 2515252775014 2874574600016 5030505550028 10061011100056 20122022200112