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12020214660 = 22353111935417
BaseRepresentation
bin10110011000111010…
…11110101110000100
31011000201011011122120
423030131132232010
5144104133332120
65304430525540
7603605065416
oct131435365604
934021134576
1012020214660
115109109203
1223b56668b0
1311973c186c
148205a09b6
154a5415140
hex2cc75eb84

12020214660 has 96 divisors (see below), whose sum is σ = 34777838592. Its totient is φ = 3098818560.

The previous prime is 12020214643. The next prime is 12020214671. The reversal of 12020214660 is 6641202021.

It is a self number, because there is not a number n which added to its sum of digits gives 12020214660.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2216272 + ... + 2221688.

It is an arithmetic number, because the mean of its divisors is an integer number (362269152).

Almost surely, 212020214660 is an apocalyptic number.

12020214660 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 12020214660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17388919296).

12020214660 is an abundant number, since it is smaller than the sum of its proper divisors (22757623932).

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

12020214660 is a wasteful number, since it uses less digits than its factorization.

12020214660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6653 (or 6651 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12020214660 its reverse (6641202021), we get a palindrome (18661416681).

It can be divided in two parts, 1202021 and 4660, that added together give a triangular number (1206681 = T1553).

The spelling of 12020214660 in words is "twelve billion, twenty million, two hundred fourteen thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1193 1860 2386 3579 4772 5417 5965 7158 10834 11930 14316 16251 17895 21668 23860 27085 32502 35790 36983 54170 65004 71580 73966 81255 108340 110949 147932 162510 167927 184915 221898 325020 335854 369830 443796 503781 554745 671708 739660 839635 1007562 1109490 1679270 2015124 2218980 2518905 3358540 5037810 6462481 10075620 12924962 19387443 25849924 32312405 38774886 64624810 77549772 96937215 129249620 193874430 200336911 387748860 400673822 601010733 801347644 1001684555 1202021466 2003369110 2404042932 3005053665 4006738220 6010107330 12020214660