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12002222020 = 22517223137659
BaseRepresentation
bin10110010110110001…
…10101111111000100
31010222110022001101111
423023120311333010
5144040032101040
65302545134404
7603266126635
oct131330657704
933873261344
1012002222020
1150a9a3a058
1223ab62a404
131193762029
1481c03988c
154a3a5ddea
hex2cb635fc4

12002222020 has 144 divisors (see below), whose sum is σ = 28185252480. Its totient is φ = 4283969536.

The previous prime is 12002222009. The next prime is 12002222027. The reversal of 12002222020 is 2022220021.

It is not an unprimeable number, because it can be changed into a prime (12002222027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18212451 + ... + 18213109.

It is an arithmetic number, because the mean of its divisors is an integer number (195730920).

Almost surely, 212002222020 is an apocalyptic number.

12002222020 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 12002222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14092626240).

12002222020 is an abundant number, since it is smaller than the sum of its proper divisors (16183030460).

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

12002222020 is a wasteful number, since it uses less digits than its factorization.

12002222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 12002222020 its reverse (2022220021), we get a palindrome (14024442041).

The spelling of 12002222020 in words is "twelve billion, two million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 137 170 230 274 289 340 391 460 548 578 659 685 782 1156 1318 1370 1445 1564 1955 2329 2636 2740 2890 3151 3295 3910 4658 5780 6302 6590 6647 7820 9316 11203 11645 12604 13180 13294 15157 15755 22406 23290 26588 30314 31510 33235 39593 44812 46580 53567 56015 60628 63020 66470 75785 79186 90283 107134 112030 132940 151570 158372 180566 190451 197965 214268 224060 257669 267835 303140 361132 380902 395930 451415 515338 535670 761804 791860 902830 910639 952255 1030676 1071340 1288345 1534811 1805660 1821278 1904510 2076509 2576690 3069622 3642556 3809020 4153018 4380373 4553195 5153380 6139244 7674055 8306036 8760746 9106390 10382545 15348110 17521492 18212780 20765090 21901865 26091787 30696220 35300653 41530180 43803730 52183574 70601306 87607460 104367148 130458935 141202612 176503265 260917870 353006530 521835740 600111101 706013060 1200222202 2400444404 3000555505 6001111010 12002222020