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200212120020 = 2235112122322549
BaseRepresentation
bin1011101001110110010…
…0101000000111010100
3201010210010102111110110
42322131210220013110
511240013300320040
6231550504323020
720315304640503
oct2723544500724
9633703374413
10200212120020
1177a00582100
1232976773470
1315b5925ac93
14999433a83a
15531bdc4980
hex2e9d9281d4

200212120020 has 144 divisors (see below), whose sum is σ = 616721212800. Its totient is φ = 48494434560.

The previous prime is 200212119979. The next prime is 200212120021. The reversal of 200212120020 is 20021212002.

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 = 200212119978 and 200212120005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200212120021) 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, 8867706 + ... + 8890254.

It is an arithmetic number, because the mean of its divisors is an integer number (4282786200).

Almost surely, 2200212120020 is an apocalyptic number.

200212120020 is a gapful number since it is divisible by the number (20) 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 200212120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308360606400).

200212120020 is an abundant number, since it is smaller than the sum of its proper divisors (416509092780).

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

200212120020 is a wasteful number, since it uses less digits than its factorization.

200212120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23806 (or 23793 counting only the distinct ones).

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

Adding to 200212120020 its reverse (20021212002), we get a palindrome (220233332022).

The spelling of 200212120020 in words is "two hundred billion, two hundred twelve million, one hundred twenty thousand, twenty".

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 1223 1452 1815 2420 2446 3630 3669 4892 6115 7260 7338 12230 13453 14676 18345 22549 24460 26906 36690 40359 45098 53812 67265 67647 73380 80718 90196 112745 134530 135294 147983 161436 201795 225490 248039 269060 270588 295966 338235 403590 443949 450980 496078 591932 676470 739915 744117 807180 887898 992156 1240195 1352940 1479830 1488234 1775796 2219745 2480390 2728429 2959660 2976468 3720585 4439490 4960780 5456858 7441170 8185287 8878980 10913716 13642145 14882340 16370574 27284290 27577427 32741148 40926435 54568580 55154854 81852870 82732281 110309708 137887135 163705740 165464562 275774270 303351697 330929124 413661405 551548540 606703394 827322810 910055091 1213406788 1516758485 1654645620 1820110182 3033516970 3336868667 3640220364 4550275455 6067033940 6673737334 9100550910 10010606001 13347474668 16684343335 18201101820 20021212002 33368686670 40042424004 50053030005 66737373340 100106060010 200212120020