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12202312221220 = 225111811911604381
BaseRepresentation
bin1011000110010001001001…
…1111000100001000100100
31121012112022010012210111211
42301210102133010020210
53044410313412034340
641541355335041204
72366405446351162
oct261442237041044
947175263183454
1012202312221220
113984a76154030
121450a81810204
136a6899a727a4
14302848bd0232
1516262437c5ea
hexb19127c4224

12202312221220 has 96 divisors (see below), whose sum is σ = 28256016402432. Its totient is φ = 4389583680000.

The previous prime is 12202312221139. The next prime is 12202312221251. The reversal of 12202312221220 is 2212221320221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 12202312221191 and 12202312221200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6803430 + ... + 8407810.

It is an arithmetic number, because the mean of its divisors is an integer number (294333504192).

Almost surely, 212202312221220 is an apocalyptic number.

12202312221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12202312221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14128008201216).

12202312221220 is an abundant number, since it is smaller than the sum of its proper divisors (16053704181212).

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

12202312221220 is a wasteful number, since it uses less digits than its factorization.

12202312221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604773 (or 1604771 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 12202312221220 its reverse (2212221320221), we get a palindrome (14414533541441).

Subtracting from 12202312221220 its reverse (2212221320221), we obtain a palindrome (9990090900999).

The spelling of 12202312221220 in words is "twelve trillion, two hundred two billion, three hundred twelve million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 181 191 220 362 382 724 764 905 955 1810 1910 1991 2101 3620 3820 3982 4202 7964 8404 9955 10505 19910 21010 34571 39820 42020 69142 138284 172855 345710 380281 691420 760562 1521124 1604381 1901405 3208762 3802810 6417524 7605620 8021905 16043810 17648191 32087620 35296382 70592764 88240955 176481910 290392961 306436771 352963820 580785922 612873542 1161571844 1225747084 1451964805 1532183855 2903929610 3064367710 3194322571 3370804481 5807859220 6128735420 6388645142 6741608962 12777290284 13483217924 15971612855 16854022405 31943225710 33708044810 55465055551 63886451420 67416089620 110930111102 221860222204 277325277755 554650555510 610115611061 1109301111020 1220231222122 2440462444244 3050578055305 6101156110610 12202312221220