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12220322020000 = 25544733129097
BaseRepresentation
bin1011000111010100001111…
…1100111111101010100000
31121021020210020211100221021
42301311003330333222200
53100204204414120000
641553534411335224
72400613654204153
oct261650374775240
947236706740837
1012220322020000
113991678219456
121454469151514
136a84aa024163
14303676a4bc9a
15162d2a51e11a
hexb1d43f3faa0

12220322020000 has 120 divisors (see below), whose sum is σ = 30070410104196. Its totient is φ = 4887058176000.

The previous prime is 12220322019991. The next prime is 12220322020013. The reversal of 12220322020000 is 2022302221.

It can be written as a sum of positive squares in 10 ways, for example, as 3472900599184 + 8747421420816 = 1863572^2 + 2957604^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 94595452 + ... + 94724548.

Almost surely, 212220322020000 is an apocalyptic number.

12220322020000 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 12220322020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15035205052098).

12220322020000 is an abundant number, since it is smaller than the sum of its proper divisors (17850088084196).

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

12220322020000 is an equidigital number, since it uses as much as digits as its factorization.

12220322020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133860 (or 133837 counting only the distinct ones).

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

Adding to 12220322020000 its reverse (2022302221), we get a palindrome (12222344322221).

The spelling of 12220322020000 in words is "twelve trillion, two hundred twenty billion, three hundred twenty-two million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 4733 5000 9466 10000 18932 20000 23665 37864 47330 75728 94660 118325 129097 151456 189320 236650 258194 378640 473300 516388 591625 645485 757280 946600 1032776 1183250 1290970 1893200 2065552 2366500 2581940 2958125 3227425 3786400 4131104 4733000 5163880 5916250 6454850 9466000 10327760 11832500 12909700 16137125 18932000 20655520 23665000 25819400 32274250 47330000 51638800 64548500 80685625 94660000 103277600 129097000 161371250 258194000 322742500 516388000 611016101 645485000 1222032202 1290970000 2444064404 2581940000 3055080505 4888128808 6110161010 9776257616 12220322020 15275402525 19552515232 24440644040 30550805050 48881288080 61101610100 76377012625 97762576160 122203220200 152754025250 244406440400 305508050500 381885063125 488812880800 611016101000 763770126250 1222032202000 1527540252500 2444064404000 3055080505000 6110161010000 12220322020000