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20000212012112 = 2417434201407047
BaseRepresentation
bin1001000110000101010011…
…00010000100110001010000
32121211000001011101211121012
410203002221202010301100
510110140413233341422
6110311545350150052
74132652620055663
oct443025142046120
977730034354535
1020000212012112
116411051304962
1222b0212652328
13b210201b56a7
144d20304896da
1524a3b87b44e2
hex1230a9884c50

20000212012112 has 80 divisors (see below), whose sum is σ = 41994126168192. Its totient is φ = 9190773043200.

The previous prime is 20000212012103. The next prime is 20000212012117. The reversal of 20000212012112 is 21121021200002.

It is a super-3 number, since 3×200002120121123 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20000212012117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48931373 + ... + 49338419.

Almost surely, 220000212012112 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 20000212012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20997063084096).

20000212012112 is an abundant number, since it is smaller than the sum of its proper divisors (21993914156080).

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

20000212012112 is a wasteful number, since it uses less digits than its factorization.

20000212012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411316 (or 411310 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20000212012112 its reverse (21121021200002), we get a palindrome (41121233212114).

The spelling of 20000212012112 in words is "twenty trillion, two hundred twelve million, twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 34 43 68 86 136 172 272 344 688 731 1462 2924 4201 5848 8402 11696 16804 33608 67216 71417 142834 180643 285668 361286 407047 571336 722572 814094 1142672 1445144 1628188 2890288 3070931 3256376 6141862 6512752 6919799 12283724 13839598 17503021 24567448 27679196 35006042 49134896 55358392 70012084 110716784 140024168 280048336 297551357 595102714 1190205428 1710004447 2380410856 3420008894 4760821712 6840017788 13680035576 27360071152 29070075599 58140151198 73530191221 116280302396 147060382442 232560604792 294120764884 465121209584 588241529768 1176483059536 1250013250757 2500026501514 5000053003028 10000106006056 20000212012112