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12012221001220 = 2251191170198539
BaseRepresentation
bin1010111011001101000000…
…1010100110111000000100
31120112100122100001021211021
42232303100022212320010
53033302012034014340
641314201012320524
72346566014552456
oct256632012467004
946470570037737
1012012221001220
113911399662a10
121420070613144
1369199458275b
142d7574ac82d6
1515c6eac97e4a
hexaecd02a6e04

12012221001220 has 96 divisors (see below), whose sum is σ = 27556265318400. Its totient is φ = 4362152995200.

The previous prime is 12012221001211. The next prime is 12012221001223. The reversal of 12012221001220 is 2210012221021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12012221001194 and 12012221001203.

It is not an unprimeable number, because it can be changed into a prime (12012221001223) by changing a digit.

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, 1406743711 + ... + 1406752249.

It is an arithmetic number, because the mean of its divisors is an integer number (287044430400).

Almost surely, 212012221001220 is an apocalyptic number.

12012221001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012221001220 is an abundant number, since it is smaller than the sum of its proper divisors (15544044317180).

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

12012221001220 is a wasteful number, since it uses less digits than its factorization.

12012221001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16489 (or 16487 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12012221001220 its reverse (2210012221021), we get a palindrome (14222233222241).

The spelling of 12012221001220 in words is "twelve trillion, twelve billion, two hundred twenty-one million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 911 1822 3644 4555 7019 8539 9110 10021 14038 17078 18220 20042 28076 34156 35095 40084 42695 50105 70190 77209 85390 93929 100210 140380 154418 170780 187858 200420 308836 375716 386045 469645 772090 939290 1544180 1878580 6394309 7779029 12788618 15558058 25577236 31116116 31971545 38895145 59935241 63943090 70337399 77790290 85569319 119870482 127886180 140674798 155580580 171138638 239740964 281349596 299676205 342277276 351686995 427846595 599352410 659287651 703373990 855693190 1198704820 1318575302 1406747980 1711386380 2637150604 3296438255 6592876510 13185753020 54601004551 109202009102 218404018204 273005022755 546010045510 600611050061 1092020091020 1201222100122 2402444200244 3003055250305 6006110500610 12012221001220