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12202020210 = 235192372823
BaseRepresentation
bin10110101110100110…
…00000110101110010
31011111101020211222110
423113103000311302
5144442204121320
65334443350150
7611243313642
oct132723006562
934441224873
1012202020210
1151a17a4426
122446522356
1311c5c78503
1483a7a8522
154b63785e0
hex2d74c0d72

12202020210 has 144 divisors (see below), whose sum is σ = 31803782976. Its totient is φ = 2995657344.

The previous prime is 12202020179. The next prime is 12202020223. The reversal of 12202020210 is 1202020221.

12202020210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14825859 + ... + 14826681.

It is an arithmetic number, because the mean of its divisors is an integer number (220859604).

Almost surely, 212202020210 is an apocalyptic number.

12202020210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12202020210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15901891488).

12202020210 is an abundant number, since it is smaller than the sum of its proper divisors (19601762766).

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

12202020210 is a wasteful number, since it uses less digits than its factorization.

12202020210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 889 counting only the distinct ones).

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

Adding to 12202020210 its reverse (1202020221), we get a palindrome (13404040431).

The spelling of 12202020210 in words is "twelve billion, two hundred two million, twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 37 38 57 74 95 111 114 185 190 222 285 361 370 555 570 703 722 823 1083 1110 1369 1406 1646 1805 2109 2166 2469 2738 3515 3610 4107 4115 4218 4938 5415 6845 7030 8214 8230 10545 10830 12345 13357 13690 15637 20535 21090 24690 26011 26714 30451 31274 40071 41070 46911 52022 60902 66785 78033 78185 80142 91353 93822 130055 133570 152255 156066 156370 182706 200355 234555 260110 297103 304510 390165 400710 456765 469110 494209 578569 594206 780330 891309 913530 988418 1126687 1157138 1482627 1485515 1735707 1782618 2253374 2471045 2892845 2965254 2971030 3380061 3471414 4456545 4942090 5633435 5785690 6760122 7413135 8678535 8913090 10992811 11266870 14826270 16900305 17357070 21407053 21985622 32978433 33800610 42814106 54964055 64221159 65956866 107035265 109928110 128442318 164892165 214070530 321105795 329784330 406734007 642211590 813468014 1220202021 2033670035 2440404042 4067340070 6101010105 12202020210