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211121020220012 = 227310714271007789
BaseRepresentation
bin110000000000001101110001…
…011010100011001001101100
31000200111222020220011220010122
4300000031301122203021230
5210133001322134020022
62025003354024224112
762316663456431000
oct6000156132431154
91020458226156118
10211121020220012
11612a6a16000811
121b81880260b038
1390a581c066a76
143a1c451bd4700
151961b20076742
hexc003716a326c

211121020220012 has 96 divisors (see below), whose sum is σ = 435191133888000. Its totient is φ = 89571923321664.

The previous prime is 211121020220009. The next prime is 211121020220093. The reversal of 211121020220012 is 210022020121112.

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 31 ways as a sum of consecutive naturals, for example, 208985414 + ... + 209993202.

It is an arithmetic number, because the mean of its divisors is an integer number (4533240978000).

Almost surely, 2211121020220012 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 211121020220012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217595566944000).

211121020220012 is an abundant number, since it is smaller than the sum of its proper divisors (224070113667988).

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

211121020220012 is a wasteful number, since it uses less digits than its factorization.

211121020220012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009348 (or 1009332 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 211121020220012 its reverse (210022020121112), we get a palindrome (421143040341124).

The spelling of 211121020220012 in words is "two hundred eleven trillion, one hundred twenty-one billion, twenty million, two hundred twenty thousand, twelve".

Divisors: 1 2 4 7 14 28 49 98 107 196 214 343 428 686 749 1372 1427 1498 2854 2996 5243 5708 9989 10486 19978 20972 36701 39956 69923 73402 139846 146804 152689 279692 305378 489461 610756 978922 1007789 1068823 1957844 2015578 2137646 4031156 4275292 7054523 7481761 14109046 14963522 28218092 29927044 49381661 52372327 98763322 104744654 107833423 197526644 209489308 215666846 345671627 431333692 691343254 754833961 1382686508 1438114903 1509667922 2876229806 3019335844 5283837727 5752459612 10066804321 10567675454 20133608642 21135350908 36986864089 40267217284 70467630247 73973728178 140935260494 147947456356 153878294621 281870520988 307756589242 493273411729 615513178484 986546823458 1077148062347 1973093646916 2154296124694 4308592249388 7540036436429 15080072872858 30160145745716 52780255055003 105560510110006 211121020220012