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210121112111200 = 2552797394498919
BaseRepresentation
bin101111110001101010100010…
…001111110100100001100000
31000112222101022120200000122221
4233301222202033310201200
5210020111014200024300
62022520150055240424
762154515015642203
oct5761524217644140
91015871276600587
10210121112111200
1160a50954a39054
121b696a67379114
139032449b32c14
1439c5cb7a6b93a
151945aeb91231a
hexbf1aa23f4860

210121112111200 has 144 divisors (see below), whose sum is σ = 520154332992000. Its totient is φ = 82872229040640.

The previous prime is 210121112111167. The next prime is 210121112111203. The reversal of 210121112111200 is 2111211121012.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210121112111203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44455341 + ... + 48954259.

It is an arithmetic number, because the mean of its divisors is an integer number (3612182868000).

Almost surely, 2210121112111200 is an apocalyptic number.

210121112111200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210121112111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260077166496000).

210121112111200 is an abundant number, since it is smaller than the sum of its proper divisors (310033220880800).

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

210121112111200 is a wasteful number, since it uses less digits than its factorization.

210121112111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4499757 (or 4499744 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 210121112111200 its reverse (2111211121012), we get a palindrome (212232323232212).

The spelling of 210121112111200 in words is "two hundred ten trillion, one hundred twenty-one billion, one hundred twelve million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 79 80 100 158 160 200 316 395 400 632 739 790 800 1264 1478 1580 1975 2528 2956 3160 3695 3950 5912 6320 7390 7900 11824 12640 14780 15800 18475 23648 29560 31600 36950 58381 59120 63200 73900 116762 118240 147800 233524 291905 295600 467048 583810 591200 934096 1167620 1459525 1868192 2335240 2919050 4498919 4670480 5838100 8997838 9340960 11676200 17995676 22494595 23352400 35991352 44989190 46704800 71982704 89978380 112472975 143965408 179956760 224945950 355414601 359913520 449891900 710829202 719827040 899783800 1421658404 1777073005 1799567600 2843316808 3324701141 3554146010 3599135200 5686633616 6649402282 7108292020 8885365025 11373267232 13298804564 14216584040 16623505705 17770730050 26597609128 28433168080 33247011410 35541460100 53195218256 56866336160 66494022820 71082920200 83117528525 106390436512 132988045640 142165840400 166235057050 262651390139 265976091280 284331680800 332470114100 525302780278 531952182560 664940228200 1050605560556 1313256950695 1329880456400 2101211121112 2626513901390 2659760912800 4202422242224 5253027802780 6566284753475 8404844484448 10506055605560 13132569506950 21012111211120 26265139013900 42024222422240 52530278027800 105060556055600 210121112111200