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12220020111200 = 2552111738026813
BaseRepresentation
bin1011000111010011000111…
…1101010011011101100000
31121021020000012201210220212
42301310301331103131200
53100203100122024300
641553444424353252
72400603330054446
oct261646175233540
947236005653825
1012220020111200
113991532860950
1214543a4015828
136a845c6085b5
143036488dcb96
15162d0dc84935
hexb1d31f53760

12220020111200 has 144 divisors (see below), whose sum is σ = 32732255845296. Its totient is φ = 4417957324800.

The previous prime is 12220020111067. The next prime is 12220020111323. The reversal of 12220020111200 is 211102002221.

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 23 ways as a sum of consecutive naturals, for example, 2491007 + ... + 5535806.

It is an arithmetic number, because the mean of its divisors is an integer number (227307332259).

Almost surely, 212220020111200 is an apocalyptic number.

12220020111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220020111200 is an abundant number, since it is smaller than the sum of its proper divisors (20512235734096).

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

12220020111200 is a wasteful number, since it uses less digits than its factorization.

12220020111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8027017 (or 8027004 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12220020111200 its reverse (211102002221), we get a palindrome (12431122113421).

The spelling of 12220020111200 in words is "twelve trillion, two hundred twenty billion, twenty million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 173 176 200 220 275 346 352 400 440 550 692 800 865 880 1100 1384 1730 1760 1903 2200 2768 3460 3806 4325 4400 5536 6920 7612 8650 8800 9515 13840 15224 17300 19030 27680 30448 34600 38060 47575 60896 69200 76120 95150 138400 152240 190300 304480 380600 761200 1522400 8026813 16053626 32107252 40134065 64214504 80268130 88294943 128429008 160536260 176589886 200670325 256858016 321072520 353179772 401340650 441474715 642145040 706359544 802681300 882949430 1284290080 1388638649 1412719088 1605362600 1765898860 2207373575 2777277298 2825438176 3210725200 3531797720 4414747150 5554554596 6421450400 6943193245 7063595440 8829494300 11109109192 13886386490 14127190880 15275025139 17658988600 22218218384 27772772980 30550050278 34715966225 35317977200 44436436768 55545545960 61100100556 69431932450 70635954400 76375125695 111091091920 122200201112 138863864900 152750251390 222182183840 244400402224 277727729800 305500502780 381875628475 488800804448 555455459600 611001005560 763751256950 1110910919200 1222002011120 1527502513900 2444004022240 3055005027800 6110010055600 12220020111200