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12220002020 = 2252983313811
BaseRepresentation
bin10110110000101111…
…00110111011100100
31011112122002102101102
423120113212323210
5200011310031040
65340325015232
7611552206022
oct133027467344
934478072342
1012220002020
115200966426
122450554518
1311c9903135
1483cd29712
154b7c2b515
hex2d85e6ee4

12220002020 has 96 divisors (see below), whose sum is σ = 26985813120. Its totient is φ = 4641960960.

The previous prime is 12220002013. The next prime is 12220002031. The reversal of 12220002020 is 2020002221.

It is a junction number, because it is equal to n+sod(n) for n = 12220001992 and 12220002010.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 15067415 + ... + 15068225.

It is an arithmetic number, because the mean of its divisors is an integer number (281102220).

Almost surely, 212220002020 is an apocalyptic number.

12220002020 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 12220002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13492906560).

12220002020 is an abundant number, since it is smaller than the sum of its proper divisors (14765811100).

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

12220002020 is a wasteful number, since it uses less digits than its factorization.

12220002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 12220002020 its reverse (2020002221), we get a palindrome (14240004241).

The spelling of 12220002020 in words is "twelve billion, two hundred twenty million, two thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 83 116 145 166 290 313 332 415 580 626 811 830 1252 1565 1622 1660 2407 3130 3244 4055 4814 6260 8110 9077 9628 12035 16220 18154 23519 24070 25979 36308 45385 47038 48140 51958 67313 90770 94076 103916 117595 129895 134626 181540 235190 253843 259790 269252 336565 470380 507686 519580 673130 753391 1015372 1269215 1346260 1506782 1952077 2538430 3013564 3766955 3904154 5076860 7361447 7533910 7808308 9760385 14722894 15067820 19520770 21068969 29445788 36807235 39041540 42137938 73614470 84275876 105344845 147228940 210689690 421379380 611000101 1222000202 2444000404 3055000505 6110001010 12220002020