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200012120 = 23572119277
BaseRepresentation
bin10111110101111…
…11000101011000
3111221100200001022
423322333011120
5402200341440
631502542012
74646034500
oct1372770530
9457320038
10200012120
11a29a1080
1256b97908
133258c989
141c7c6a00
151285ccb5
hexbebf158

200012120 has 96 divisors (see below), whose sum is σ = 571153680. Its totient is φ = 62334720.

The previous prime is 200012083. The next prime is 200012129. The reversal of 200012120 is 21210002.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 200012098 and 200012107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200012129) 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 23 ways as a sum of consecutive naturals, for example, 16922 + ... + 26198.

Almost surely, 2200012120 is an apocalyptic number.

200012120 is a gapful number since it is divisible by the number (20) 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 200012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285576840).

200012120 is an abundant number, since it is smaller than the sum of its proper divisors (371141560).

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

200012120 is a wasteful number, since it uses less digits than its factorization.

200012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9313 (or 9302 counting only the distinct ones).

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

The square root of 200012120 is about 14142.5641239487. The cubic root of 200012120 is about 584.8153604356.

Adding to 200012120 its reverse (21210002), we get a palindrome (221222122).

The spelling of 200012120 in words is "two hundred million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 49 55 56 70 77 88 98 110 140 154 196 220 245 280 308 385 392 440 490 539 616 770 980 1078 1540 1960 2156 2695 3080 4312 5390 9277 10780 18554 21560 37108 46385 64939 74216 92770 102047 129878 185540 204094 259756 324695 371080 408188 454573 510235 519512 649390 714329 816376 909146 1020470 1298780 1428658 1818292 2040940 2272865 2597560 2857316 3571645 3636584 4081880 4545730 5000303 5714632 7143290 9091460 10000606 14286580 18182920 20001212 25001515 28573160 40002424 50003030 100006060 200012120