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12010202220 = 22353744912049
BaseRepresentation
bin10110010111101110…
…10010010001101100
31011000000022111011110
423023313102101230
5144044102432340
65303432152020
7603424014552
oct131367222154
934000274143
1012010202220
11510349a765
1223b2238610
1311952c7443
1481d115bd2
154a45d8680
hex2cbdd246c

12010202220 has 96 divisors (see below), whose sum is σ = 34617240000. Its totient is φ = 3108962304.

The previous prime is 12010202219. The next prime is 12010202251. The reversal of 12010202220 is 2220201021.

It is a super-3 number, since 3×120102022203 (a number of 31 digits) contains 333 as substring.

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 = 12010202196 and 12010202205.

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, 990756 + ... + 1002804.

It is an arithmetic number, because the mean of its divisors is an integer number (360596250).

Almost surely, 212010202220 is an apocalyptic number.

12010202220 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 12010202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17308620000).

12010202220 is an abundant number, since it is smaller than the sum of its proper divisors (22607037780).

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

12010202220 is a wasteful number, since it uses less digits than its factorization.

12010202220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12547 (or 12545 counting only the distinct ones).

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

Adding to 12010202220 its reverse (2220201021), we get a palindrome (14230403241).

The spelling of 12010202220 in words is "twelve billion, ten million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 449 555 740 898 1110 1347 1796 2220 2245 2694 4490 5388 6735 8980 12049 13470 16613 24098 26940 33226 36147 48196 49839 60245 66452 72294 83065 99678 120490 144588 166130 180735 199356 240980 249195 332260 361470 445813 498390 722940 891626 996780 1337439 1783252 2229065 2674878 4458130 5349756 5410001 6687195 8916260 10820002 13374390 16230003 21640004 26748780 27050005 32460006 54100010 64920012 81150015 108200020 162300030 200170037 324600060 400340074 600510111 800680148 1000850185 1201020222 2001700370 2402040444 3002550555 4003400740 6005101110 12010202220