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12012200 = 2352173533
BaseRepresentation
bin101101110100…
…101010101000
3211121021122022
4231310222220
511033342300
61105244012
7204046664
oct55645250
924537568
1012012200
116864a42
124033608
132647715
1418498a4
1510c4285
hexb74aa8

12012200 has 48 divisors (see below), whose sum is σ = 29579580. Its totient is φ = 4520960.

The previous prime is 12012197. The next prime is 12012257. The reversal of 12012200 is 221021.

12012200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 8099716 + 3912484 = 2846^2 + 1978^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1634 + ... + 5166.

Almost surely, 212012200 is an apocalyptic number.

12012200 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 12012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14789790).

12012200 is an abundant number, since it is smaller than the sum of its proper divisors (17567380).

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

12012200 is a wasteful number, since it uses less digits than its factorization.

12012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3566 (or 3557 counting only the distinct ones).

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

The square root of 12012200 is about 3465.8620861194. The cubic root of 12012200 is about 229.0204084200.

Adding to 12012200 its reverse (221021), we get a palindrome (12233221).

The spelling of 12012200 in words is "twelve million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 3533 7066 14132 17665 28264 35330 60061 70660 88325 120122 141320 176650 240244 300305 353300 480488 600610 706600 1201220 1501525 2402440 3003050 6006100 12012200