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12012220220100 = 22352177722532771
BaseRepresentation
bin1010111011001101000000…
…0111101000001011000100
31120112100122021120121022220
42232303100013220023010
53033302011334020400
641314200543452340
72346566005120242
oct256632007501304
946470567517286
1012012220220100
11391139917a061
1214200702b70b0
1369199436b059
142d7574963792
1515c6eab917a0
hexaecd01e82c4

12012220220100 has 72 divisors (see below), whose sum is σ = 34774917158688. Its totient is φ = 3201455961600.

The previous prime is 12012220220081. The next prime is 12012220220153. The reversal of 12012220220100 is 102202221021.

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 12012220220100.

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 23 ways as a sum of consecutive naturals, for example, 10733286 + ... + 11799485.

Almost surely, 212012220220100 is an apocalyptic number.

12012220220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012220220100 is an abundant number, since it is smaller than the sum of its proper divisors (22762696938588).

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

12012220220100 is a wasteful number, since it uses less digits than its factorization.

12012220220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22534565 (or 22534558 counting only the distinct ones).

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

Adding to 12012220220100 its reverse (102202221021), we get a palindrome (12114422441121).

The spelling of 12012220220100 in words is "twelve trillion, twelve billion, two hundred twenty million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1777 3554 5331 7108 8885 10662 17770 21324 26655 35540 44425 53310 88850 106620 133275 177700 266550 533100 22532771 45065542 67598313 90131084 112663855 135196626 225327710 270393252 337991565 450655420 563319275 675983130 1126638550 1351966260 1689957825 2253277100 3379915650 6759831300 40040734067 80081468134 120122202201 160162936268 200203670335 240244404402 400407340670 480488808804 600611011005 800814681340 1001018351675 1201222022010 2002036703350 2402444044020 3003055055025 4004073406700 6006110110050 12012220220100