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20002012202112 = 273591794932163
BaseRepresentation
bin1001000110001000101001…
…10101010000010010000000
32121211011200121202222000220
410203010110311100102000
510110203110110431422
6110312444134343040
74133045336324223
oct443042465202200
977734617688026
1020002012202112
116411895489296
1222b06354baa80
13b21249141085
144d21615b15ba
1524a471858e5c
hex123114d50480

20002012202112 has 128 divisors (see below), whose sum is σ = 54332718624000. Its totient is φ = 6517713982464.

The previous prime is 20002012202111. The next prime is 20002012202131. The reversal of 20002012202112 is 21120221020002.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 20002012202091 and 20002012202100.

It is not an unprimeable number, because it can be changed into a prime (20002012202111) 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, 1589343 + ... + 6521505.

It is an arithmetic number, because the mean of its divisors is an integer number (424474364250).

Almost surely, 220002012202112 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 20002012202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27166359312000).

20002012202112 is an abundant number, since it is smaller than the sum of its proper divisors (34330706421888).

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

20002012202112 is a wasteful number, since it uses less digits than its factorization.

20002012202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4932418 (or 4932406 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20002012202112 its reverse (21120221020002), we get a palindrome (41122233222114).

The spelling of 20002012202112 in words is "twenty trillion, two billion, twelve million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 179 192 236 354 358 384 472 537 708 716 944 1074 1416 1432 1888 2148 2832 2864 3776 4296 5664 5728 7552 8592 10561 11328 11456 17184 21122 22656 22912 31683 34368 42244 63366 68736 84488 126732 168976 253464 337952 506928 675904 1013856 1351808 2027712 4055424 4932163 9864326 14796489 19728652 29592978 39457304 59185956 78914608 118371912 157829216 236743824 290997617 315658432 473487648 581995234 631316864 872992851 882857177 946975296 1163990468 1745985702 1765714354 1893950592 2327980936 2648571531 3491971404 3531428708 4655961872 5297143062 6983942808 7062857416 9311923744 10594286124 13967885616 14125714832 18623847488 21188572248 27935771232 28251429664 37247694976 42377144496 52088573443 55871542464 56502859328 84754288992 104177146886 111743084928 113005718656 156265720329 169508577984 208354293772 312531440658 339017155968 416708587544 625062881316 833417175088 1250125762632 1666834350176 2500251525264 3333668700352 5000503050528 6667337400704 10001006101056 20002012202112