Search a number
-
+
1200221000220 = 22351121139914503
BaseRepresentation
bin10001011101110010101…
…111110001001000011100
311020201222110120002021210
4101131302233301020130
5124131023034001340
62315212433224420
7152466411113364
oct21356257611034
94221873502253
101200221000220
11423013512900
1217473b702110
1389246315778
144213ba159a4
15213492e2180
hex11772bf121c

1200221000220 has 144 divisors (see below), whose sum is σ = 3694482086400. Its totient is φ = 290917080960.

The previous prime is 1200221000183. The next prime is 1200221000221. The reversal of 1200221000220 is 220001220021.

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

It is a junction number, because it is equal to n+sod(n) for n = 1200221000196 and 1200221000205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200221000221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82749489 + ... + 82763991.

It is an arithmetic number, because the mean of its divisors is an integer number (25656125600).

Almost surely, 21200221000220 is an apocalyptic number.

1200221000220 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 1200221000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847241043200).

1200221000220 is an abundant number, since it is smaller than the sum of its proper divisors (2494261086180).

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

1200221000220 is a wasteful number, since it uses less digits than its factorization.

1200221000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25936 (or 25923 counting only the distinct ones).

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

Adding to 1200221000220 its reverse (220001220021), we get a palindrome (1420222220241).

The spelling of 1200221000220 in words is "one trillion, two hundred billion, two hundred twenty-one million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 3630 7260 11399 14503 22798 29006 34197 43509 45596 56995 58012 68394 72515 87018 113990 125389 136788 145030 159533 170985 174036 217545 227980 250778 290060 319066 341970 376167 435090 478599 501556 626945 638132 683940 752334 797665 870180 957198 1253890 1379279 1504668 1595330 1754863 1880835 1914396 2392995 2507780 2758558 3190660 3509726 3761670 4137837 4785990 5264589 5517116 6896395 7019452 7523340 8275674 8774315 9571980 10529178 13792790 16551348 17548630 20689185 21058356 26322945 27585580 35097260 41378370 52645890 82756740 105291780 165319697 330639394 495959091 661278788 826598485 991918182 1653196970 1818516667 1983836364 2479795455 3306393940 3637033334 4959590910 5455550001 7274066668 9092583335 9919181820 10911100002 18185166670 20003683337 21822200004 27277750005 36370333340 40007366674 54555500010 60011050011 80014733348 100018416685 109111000020 120022100022 200036833370 240044200044 300055250055 400073666740 600110500110 1200221000220