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12300220220020 = 22519314125467349
BaseRepresentation
bin1011001011111101111001…
…0000011100001001110100
31121112220000111101110121121
42302333132100130021310
53103011322334020040
642054350531153324
72406442631535625
oct262773620341164
947486014343547
1012300220220020
113a12548714717
121467a46a45844
136b2ba10350a5
14307496087a4c
15164e54acec4a
hexb2fde41c274

12300220220020 has 96 divisors (see below), whose sum is σ = 28751619456000. Its totient is φ = 4400757734400.

The previous prime is 12300220219999. The next prime is 12300220220053. The reversal of 12300220220020 is 2002202200321.

It is a junction number, because it is equal to n+sod(n) for n = 12300220219976 and 12300220220003.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 12250695 + ... + 13216654.

It is an arithmetic number, because the mean of its divisors is an integer number (299496036000).

Almost surely, 212300220220020 is an apocalyptic number.

12300220220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12300220220020 is an abundant number, since it is smaller than the sum of its proper divisors (16451399235980).

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

12300220220020 is a wasteful number, since it uses less digits than its factorization.

12300220220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25467449 (or 25467447 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 12300220220020 its reverse (2002202200321), we get a palindrome (14302422420341).

The spelling of 12300220220020 in words is "twelve trillion, three hundred billion, two hundred twenty million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 19 20 31 38 41 62 76 82 95 124 155 164 190 205 310 380 410 589 620 779 820 1178 1271 1558 2356 2542 2945 3116 3895 5084 5890 6355 7790 11780 12710 15580 24149 25420 48298 96596 120745 241490 482980 25467349 50934698 101869396 127336745 254673490 483879631 509346980 789487819 967759262 1044161309 1578975638 1935518524 2088322618 2419398155 3157951276 3947439095 4176645236 4838796310 5220806545 7894878190 9677592620 10441613090 15000268561 15789756380 19839064871 20883226180 30000537122 32369000579 39678129742 60001074244 64738001158 75001342805 79356259484 99195324355 129476002316 150002685610 161845002895 198390648710 300005371220 323690005790 396781297420 615011011001 647380011580 1230022022002 2460044044004 3075055055005 6150110110010 12300220220020