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20122002220212 = 223210729803175277
BaseRepresentation
bin1001001001101000001001…
…10010110110010010110100
32122020122101221011102221100
410210310010302312102310
510114134330032021322
6110443530433050100
74144523654543664
oct444640462662264
978218357142840
1020122002220212
116458769745902
12230b9419b6930
13b2c65c241b99
144d7ca547a1a4
1524d6459dbdac
hex124d04cb64b4

20122002220212 has 72 divisors (see below), whose sum is σ = 51341329611936. Its totient is φ = 6644387847744.

The previous prime is 20122002220169. The next prime is 20122002220213. The reversal of 20122002220212 is 21202220022102.

20122002220212 is a `hidden beast` number, since 20 + 12 + 200 + 2 + 220 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122002220213) by changing a digit.

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, 114713518 + ... + 114888794.

It is an arithmetic number, because the mean of its divisors is an integer number (713074022388).

Almost surely, 220122002220212 is an apocalyptic number.

It is an amenable number.

20122002220212 is an abundant number, since it is smaller than the sum of its proper divisors (31219327391724).

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

20122002220212 is a wasteful number, since it uses less digits than its factorization.

20122002220212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205197 (or 205192 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20122002220212 its reverse (21202220022102), we get a palindrome (41324222242314).

The spelling of 20122002220212 in words is "twenty trillion, one hundred twenty-two billion, two million, two hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 107 214 321 428 642 963 1284 1926 3852 29803 59606 89409 119212 175277 178818 268227 350554 357636 525831 536454 701108 1051662 1072908 1577493 2103324 3154986 3188921 6309972 6377842 9566763 12755684 18754639 19133526 28700289 37509278 38267052 56263917 57400578 75018556 112527834 114801156 168791751 225055668 337583502 675167004 5223780431 10447560862 15671341293 20895121724 31342682586 47014023879 62685365172 94028047758 188056095516 558944506117 1117889012234 1676833518351 2235778024468 3353667036702 5030500555053 6707334073404 10061001110106 20122002220212