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12002120220 = 2235474499479
BaseRepresentation
bin10110010110110000…
…11101001000011100
31010222110002212202010
423023120131020130
5144040020321340
65302543031220
7603265224066
oct131330351034
933873085663
1012002120220
1150a997a622
1223ab59b510
1311937278ac
1481c010736
154a3a3db80
hex2cb61d21c

12002120220 has 96 divisors (see below), whose sum is σ = 34401024000. Its totient is φ = 3125161984.

The previous prime is 12002120219. The next prime is 12002120227. The reversal of 12002120220 is 2202120021.

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 = 12002120196 and 12002120205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002120227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1261441 + ... + 1270919.

It is an arithmetic number, because the mean of its divisors is an integer number (358344000).

Almost surely, 212002120220 is an apocalyptic number.

12002120220 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 12002120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17200512000).

12002120220 is an abundant number, since it is smaller than the sum of its proper divisors (22398903780).

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

12002120220 is a wasteful number, since it uses less digits than its factorization.

12002120220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9987 (or 9985 counting only the distinct ones).

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

Adding to 12002120220 its reverse (2202120021), we get a palindrome (14204240241).

The spelling of 12002120220 in words is "twelve billion, two million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 449 470 564 705 898 940 1347 1410 1796 2245 2694 2820 4490 5388 6735 8980 9479 13470 18958 21103 26940 28437 37916 42206 47395 56874 63309 84412 94790 105515 113748 126618 142185 189580 211030 253236 284370 316545 422060 445513 568740 633090 891026 1266180 1336539 1782052 2227565 2673078 4256071 4455130 5346156 6682695 8512142 8910260 12768213 13365390 17024284 21280355 25536426 26730780 42560710 51072852 63841065 85121420 127682130 200035337 255364260 400070674 600106011 800141348 1000176685 1200212022 2000353370 2400424044 3000530055 4000706740 6001060110 12002120220