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20002122002120 = 2356715149427009
BaseRepresentation
bin1001000110001000110110…
…11000000110111011001000
32121211011222021101101022212
410203010123120012323020
510110203321213031440
6110312503100004252
74133051141523656
oct443043330067310
977734867341285
1020002122002120
1164119414636a5
1222b0666230688
13b21265b063ab
144d2171dd3dd6
1524a47b2e7465
hex12311b606ec8

20002122002120 has 64 divisors (see below), whose sum is σ = 45978981782400. Its totient is φ = 7829238067200.

The previous prime is 20002122002117. The next prime is 20002122002141. The reversal of 20002122002120 is 2120022120002.

It is a junction number, because it is equal to n+sod(n) for n = 20002122002095 and 20002122002104.

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 15 ways as a sum of consecutive naturals, for example, 24308825 + ... + 25118184.

It is an arithmetic number, because the mean of its divisors is an integer number (718421590350).

Almost surely, 220002122002120 is an apocalyptic number.

20002122002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20002122002120 is an abundant number, since it is smaller than the sum of its proper divisors (25976859780280).

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

20002122002120 is a wasteful number, since it uses less digits than its factorization.

20002122002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49427238 (or 49427234 counting only the distinct ones).

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

Adding to 20002122002120 its reverse (2120022120002), we get a palindrome (22122144122122).

The spelling of 20002122002120 in words is "twenty trillion, two billion, one hundred twenty-two million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 67 134 151 268 302 335 536 604 670 755 1208 1340 1510 2680 3020 6040 10117 20234 40468 50585 80936 101170 202340 404680 49427009 98854018 197708036 247135045 395416072 494270090 988540180 1977080360 3311609603 6623219206 7463478359 13246438412 14926956718 16558048015 26492876824 29853913436 33116096030 37317391795 59707826872 66232192060 74634783590 132464384120 149269567180 298539134360 500053050053 1000106100106 2000212200212 2500265250265 4000424400424 5000530500530 10001061001060 20002122002120