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12220200020100 = 22352175345209767
BaseRepresentation
bin1011000111010011110010…
…1011100110100010000100
31121021020110202021010112110
42301310330223212202010
53100203432201120400
641553514332421020
72400610643213262
oct261647453464204
947236422233473
1012220200020100
113991615371096
121454434317770
136a848a979b77
14303664771432
15162d1e970e50
hexb1d3cae6884

12220200020100 has 144 divisors (see below), whose sum is σ = 38143300422528. Its totient is φ = 3009162024960.

The previous prime is 12220200020059. The next prime is 12220200020143. The reversal of 12220200020100 is 102000202221.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 22334584 + ... + 22875183.

It is an arithmetic number, because the mean of its divisors is an integer number (264884030712).

Almost surely, 212220200020100 is an apocalyptic number.

12220200020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220200020100 is an abundant number, since it is smaller than the sum of its proper divisors (25923100402428).

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

12220200020100 is a wasteful number, since it uses less digits than its factorization.

12220200020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45209854 (or 45209847 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12220200020100 its reverse (102000202221), we get a palindrome (12322200222321).

The spelling of 12220200020100 in words is "twelve trillion, two hundred twenty billion, two hundred million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 53 60 68 75 85 100 102 106 150 159 170 204 212 255 265 300 318 340 425 510 530 636 795 850 901 1020 1060 1275 1325 1590 1700 1802 2550 2650 2703 3180 3604 3975 4505 5100 5300 5406 7950 9010 10812 13515 15900 18020 22525 27030 45050 54060 67575 90100 135150 270300 45209767 90419534 135629301 180839068 226048835 271258602 452097670 542517204 678146505 768566039 904195340 1130244175 1356293010 1537132078 2260488350 2305698117 2396117651 2712586020 3074264156 3390732525 3842830195 4520976700 4611396234 4792235302 6781465050 7188352953 7685660390 9222792468 9584470604 11528490585 11980588255 13562930100 14376705906 15371320780 19214150975 23056981170 23961176510 28753411812 35941764765 38428301950 40734000067 46113962340 47922353020 57642452925 59902941275 71883529530 76856603900 81468000134 115284905850 119805882550 122202000201 143767059060 162936000268 179708823825 203670000335 230569811700 239611765100 244404000402 359417647650 407340000670 488808000804 611010001005 718835295300 814680001340 1018350001675 1222020002010 2036700003350 2444040004020 3055050005025 4073400006700 6110100010050 12220200020100