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12222112120000 = 2654793867757
BaseRepresentation
bin1011000111011010111010…
…1001101011110011000000
31121021102102000012212111021
42301312232221223303000
53100221341200320000
641554432155355224
72401006221616456
oct261665651536300
947242360185437
1012222112120000
113992406731042
121454888752b14
136a8703b59023
143037a66a89d6
15162dd276e11a
hexb1daea6bcc0

12222112120000 has 140 divisors (see below), whose sum is σ = 30690505019680. Its totient is φ = 4826959488000.

The previous prime is 12222112119977. The next prime is 12222112120003. The reversal of 12222112120000 is 2121122221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (12222112120003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 1226122 + ... + 5093878.

Almost surely, 212222112120000 is an apocalyptic number.

12222112120000 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 12222112120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15345252509840).

12222112120000 is an abundant number, since it is smaller than the sum of its proper divisors (18468392899680).

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

12222112120000 is an frugal number, since it uses more digits than its factorization.

12222112120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3867868 (or 3867843 counting only the distinct ones).

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

Adding to 12222112120000 its reverse (2121122221), we get a palindrome (12224233242221).

The spelling of 12222112120000 in words is "twelve trillion, two hundred twenty-two billion, one hundred twelve million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 79 80 100 125 158 160 200 250 316 320 395 400 500 625 632 790 800 1000 1250 1264 1580 1600 1975 2000 2500 2528 3160 3950 4000 5000 5056 6320 7900 8000 9875 10000 12640 15800 19750 20000 25280 31600 39500 40000 49375 63200 79000 98750 126400 158000 197500 316000 395000 632000 790000 1580000 3160000 3867757 7735514 15471028 19338785 30942056 38677570 61884112 77355140 96693925 123768224 154710280 193387850 247536448 305552803 309420560 386775700 483469625 611105606 618841120 773551400 966939250 1222211212 1237682240 1527764015 1547102800 1933878500 2417348125 2444422424 3055528030 3094205600 3867757000 4834696250 4888844848 6111056060 6188411200 7638820075 7735514000 9669392500 9777689696 12222112120 15277640150 15471028000 19338785000 19555379392 24444224240 30555280300 30942056000 38194100375 38677570000 48888448480 61110560600 76388200750 77355140000 97776896960 122221121200 152776401500 154710280000 190970501875 244442242400 305552803000 381941003750 488884484800 611105606000 763882007500 1222211212000 1527764015000 2444422424000 3055528030000 6111056060000 12222112120000