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12020121100 = 225213431012129
BaseRepresentation
bin10110011000111010…
…00111111000001100
31011000200222102022101
423030131013320030
5144104122333400
65304424524444
7603604225561
oct131435077014
934020872271
1012020121100
115109054989
1223b5620724
13119738b0c0
14820578868
154a53e756a
hex2cc747e0c

12020121100 has 144 divisors (see below), whose sum is σ = 29041578720. Its totient is φ = 4290048000.

The previous prime is 12020121097. The next prime is 12020121161. The reversal of 12020121100 is 112102021.

12020121100 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 2×120201211002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 47 ways as a sum of consecutive naturals, for example, 5644836 + ... + 5646964.

It is an arithmetic number, because the mean of its divisors is an integer number (201677630).

Almost surely, 212020121100 is an apocalyptic number.

12020121100 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 12020121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14520789360).

12020121100 is an abundant number, since it is smaller than the sum of its proper divisors (17021457620).

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

12020121100 is a wasteful number, since it uses less digits than its factorization.

12020121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300 (or 2293 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12020121100 its reverse (112102021), we get a palindrome (12132223121).

The spelling of 12020121100 in words is "twelve billion, twenty million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 43 50 52 65 86 100 101 130 172 202 215 260 325 404 430 505 559 650 860 1010 1075 1118 1300 1313 2020 2129 2150 2236 2525 2626 2795 4258 4300 4343 5050 5252 5590 6565 8516 8686 10100 10645 11180 13130 13975 17372 21290 21715 26260 27677 27950 32825 42580 43430 53225 55354 55900 56459 65650 86860 91547 106450 108575 110708 112918 131300 138385 183094 212900 215029 217150 225836 276770 282295 366188 430058 434300 457735 553540 564590 691925 860116 915470 1075145 1129180 1190111 1383850 1411475 1830940 2150290 2288675 2380222 2767700 2795377 2822950 4300580 4577350 4760444 5375725 5590754 5645900 5950555 9154700 9246247 10751450 11181508 11901110 13976885 18492494 21502900 23802220 27953770 29752775 36984988 46231235 55907540 59505550 69884425 92462470 119011100 120201211 139768850 184924940 231156175 240402422 279537700 462312350 480804844 601006055 924624700 1202012110 2404024220 3005030275 6010060550 12020121100