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12020201200 = 245279744257
BaseRepresentation
bin10110011000111010…
…11011011011110000
31011000201010111012001
423030131123123300
5144104132414300
65304430343344
7603605011240
oct131435333360
934021114161
1012020201200
1151090aa087
1223b565ab54
1311973b86b7
14820599b20
154a541116a
hex2cc75b6f0

12020201200 has 120 divisors (see below), whose sum is σ = 33345039392. Its totient is φ = 4078632960.

The previous prime is 12020201161. The next prime is 12020201201. The reversal of 12020201200 is 210202021.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12020201201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249472 + ... + 293728.

Almost surely, 212020201200 is an apocalyptic number.

12020201200 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 12020201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16672519696).

12020201200 is an abundant number, since it is smaller than the sum of its proper divisors (21324838192).

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

12020201200 is a wasteful number, since it uses less digits than its factorization.

12020201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44379 (or 44368 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12020201200 its reverse (210202021), we get a palindrome (12230403221).

The spelling of 12020201200 in words is "twelve billion, twenty million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 97 100 112 140 175 194 200 280 350 388 400 485 560 679 700 776 970 1358 1400 1552 1940 2425 2716 2800 3395 3880 4850 5432 6790 7760 9700 10864 13580 16975 19400 27160 33950 38800 44257 54320 67900 88514 135800 177028 221285 271600 309799 354056 442570 619598 708112 885140 1106425 1239196 1548995 1770280 2212850 2478392 3097990 3540560 4292929 4425700 4956784 6195980 7744975 8585858 8851400 12391960 15489950 17171716 17702800 21464645 24783920 30050503 30979900 34343432 42929290 60101006 61959800 68686864 85858580 107323225 120202012 123919600 150252515 171717160 214646450 240404024 300505030 343434320 429292900 480808048 601010060 751262575 858585800 1202020120 1502525150 1717171600 2404040240 3005050300 6010100600 12020201200