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12122220110202 = 23237443223718367
BaseRepresentation
bin1011000001100110110010…
…0111111010000101111010
31120220212120100202222221200
42300121230213322011322
53042102301322011302
641440512051115030
72360541625552266
oct260315447720572
946825510688850
1012122220110202
113954006254644
12143944aba2a76
1369c174829c17
142dca0bb190a6
151604d7c6681c
hexb066c9fa17a

12122220110202 has 96 divisors (see below), whose sum is σ = 27049119132672. Its totient is φ = 3920689049472.

The previous prime is 12122220110159. The next prime is 12122220110219. The reversal of 12122220110202 is 20201102222121.

It is a happy number.

12122220110202 is a `hidden beast` number, since 12 + 122 + 220 + 110 + 202 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 659990823 + ... + 660009189.

It is an arithmetic number, because the mean of its divisors is an integer number (281761657632).

Almost surely, 212122220110202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122220110202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13524559566336).

12122220110202 is an abundant number, since it is smaller than the sum of its proper divisors (14926899022470).

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

12122220110202 is a wasteful number, since it uses less digits than its factorization.

12122220110202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21092 (or 21089 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12122220110202 its reverse (20201102222121), we get a palindrome (32323322332323).

The spelling of 12122220110202 in words is "twelve trillion, one hundred twenty-two billion, two hundred twenty million, one hundred ten thousand, two hundred two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 443 666 886 1329 2237 2658 3987 4474 6711 7974 13422 16391 18367 20133 32782 36734 40266 49173 55101 82769 98346 110202 147519 165303 165538 248307 295038 330606 496614 679579 744921 990991 1359158 1489842 1981982 2038737 2972973 4077474 5945946 6116211 8136581 8918919 12232422 16273162 17837838 24409743 36666667 41086979 48819486 73229229 73333334 82173958 110000001 123260937 146458458 220000002 246521874 301053497 330000003 369782811 602106994 660000006 739565622 903160491 1520218223 1806320982 2709481473 3040436446 4560654669 5418962946 9121309338 13681964007 18201531697 27363928014 36403063394 54604595091 109209190182 163813785273 327627570546 673456672789 1346913345578 2020370018367 4040740036734 6061110055101 12122220110202