[go: up one dir, main page]

Search a number
-
+
12051200 = 28527269
BaseRepresentation
bin101101111110…
…001100000000
3211200021010202
4231332030000
511041114300
61110144332
7204301460
oct55761400
924607122
1012051200
116891277
1240520a8
13265c3b5
141859ba0
1510d0ad5
hexb7e300

12051200 has 108 divisors (see below), whose sum is σ = 34216560. Its totient is φ = 4116480.

The previous prime is 12051197. The next prime is 12051209. The reversal of 12051200 is 215021.

It is not an unprimeable number, because it can be changed into a prime (12051209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44666 + ... + 44934.

It is an arithmetic number, because the mean of its divisors is an integer number (316820).

Almost surely, 212051200 is an apocalyptic number.

12051200 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 12051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17108280).

12051200 is an abundant number, since it is smaller than the sum of its proper divisors (22165360).

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

12051200 is an equidigital number, since it uses as much as digits as its factorization.

12051200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 12051200 is about 3471.4838325995. The cubic root of 12051200 is about 229.2679941256.

Adding to 12051200 its reverse (215021), we get a palindrome (12266221).

The spelling of 12051200 in words is "twelve million, fifty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 256 269 280 320 350 400 448 538 560 640 700 800 896 1076 1120 1280 1345 1400 1600 1792 1883 2152 2240 2690 2800 3200 3766 4304 4480 5380 5600 6400 6725 7532 8608 8960 9415 10760 11200 13450 15064 17216 18830 21520 22400 26900 30128 34432 37660 43040 44800 47075 53800 60256 68864 75320 86080 94150 107600 120512 150640 172160 188300 215200 241024 301280 344320 376600 430400 482048 602560 753200 860800 1205120 1506400 1721600 2410240 3012800 6025600 12051200