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12211212020100 = 22352372063533257
BaseRepresentation
bin1011000110110010010011…
…1101000110100110000100
31121020101021100202102102120
42301230210331012212010
53100032030234120400
641545430420405540
72400142134401532
oct261544475064604
947211240672376
1012211212020100
113988822926715
1214527462468b0
136a768783b882
14303050ba1152
15162995864ca0
hexb1b24f46984

12211212020100 has 144 divisors (see below), whose sum is σ = 36303658583808. Its totient is φ = 3166772751360.

The previous prime is 12211212020087. The next prime is 12211212020179. The reversal of 12211212020100 is 102021211221.

It is a super-2 number, since 2×122112120201002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12211212020100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22632672 + ... + 23165928.

Almost surely, 212211212020100 is an apocalyptic number.

12211212020100 is a gapful number since it is divisible by the number (10) 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 12211212020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18151829291904).

12211212020100 is an abundant number, since it is smaller than the sum of its proper divisors (24092446563708).

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

12211212020100 is a wasteful number, since it uses less digits than its factorization.

12211212020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535374 (or 535367 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12211212020100 its reverse (102021211221), we get a palindrome (12313233231321).

The spelling of 12211212020100 in words is "twelve trillion, two hundred eleven billion, two hundred twelve million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2063 2220 2775 3700 4126 5550 6189 8252 10315 11100 12378 20630 24756 30945 41260 51575 61890 76331 103150 123780 152662 154725 206300 228993 305324 309450 381655 457986 533257 618900 763310 915972 1066514 1144965 1526620 1599771 1908275 2133028 2289930 2666285 3199542 3816550 4579860 5332570 5724825 6399084 7633100 7998855 10665140 11449650 13331425 15997710 19730509 22899300 26662850 31995420 39461018 39994275 53325700 59191527 78922036 79988550 98652545 118383054 159977100 197305090 236766108 295957635 394610180 493262725 591915270 986525450 1100109191 1183830540 1479788175 1973050900 2200218382 2959576350 3300327573 4400436764 5500545955 5919152700 6600655146 11001091910 13201310292 16501637865 22002183820 27502729775 33003275730 40704040067 55005459550 66006551460 81408080134 82508189325 110010919100 122112120201 162816160268 165016378650 203520200335 244224240402 330032757300 407040400670 488448480804 610560601005 814080801340 1017601001675 1221121202010 2035202003350 2442242404020 3052803005025 4070404006700 6105606010050 12211212020100