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12020412040 = 23571319716763
BaseRepresentation
bin10110011000111100…
…01110111010001000
31011000201112012101221
423030132032322020
5144104211141130
65304435051424
7603606550030
oct131436167210
934021465357
1012020412040
11510923352a
1223b5740b74
131197460660
148206128c0
154a545387a
hex2cc78ee88

12020412040 has 128 divisors (see below), whose sum is σ = 33458261760. Its totient is φ = 3784725504.

The previous prime is 12020412013. The next prime is 12020412049. The reversal of 12020412040 is 4021402021.

12020412040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120204120402 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12020412049) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 708699 + ... + 725461.

It is an arithmetic number, because the mean of its divisors is an integer number (261392670).

Almost surely, 212020412040 is an apocalyptic number.

12020412040 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 12020412040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16729130880).

12020412040 is an abundant number, since it is smaller than the sum of its proper divisors (21437849720).

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

12020412040 is a wasteful number, since it uses less digits than its factorization.

12020412040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16991 (or 16987 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12020412040 its reverse (4021402021), we get a palindrome (16041814061).

The spelling of 12020412040 in words is "twelve billion, twenty million, four hundred twelve thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 197 260 280 364 394 455 520 728 788 910 985 1379 1576 1820 1970 2561 2758 3640 3940 5122 5516 6895 7880 10244 11032 12805 13790 16763 17927 20488 25610 27580 33526 35854 51220 55160 67052 71708 83815 89635 102440 117341 134104 143416 167630 179270 217919 234682 335260 358540 435838 469364 586705 670520 717080 871676 938728 1089595 1173410 1525433 1743352 2179190 2346820 3050866 3302311 4358380 4693640 6101732 6604622 7627165 8716760 12203464 13209244 15254330 16511555 23116177 26418488 30508660 33023110 42930043 46232354 61017320 66046220 85860086 92464708 115580885 132092440 171720172 184929416 214650215 231161770 300510301 343440344 429300430 462323540 601020602 858600860 924647080 1202041204 1502551505 1717201720 2404082408 3005103010 6010206020 12020412040