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12221200 = 245230553
BaseRepresentation
bin101110100111…
…101100010000
3211222220100001
4232213230100
511112034300
61113535344
7205610215
oct56475420
924886301
1012221200
116997a72
124114554
1326bb8a4
1418a1b0c
15111616a
hexba7b10

12221200 has 30 divisors (see below), whose sum is σ = 29362394. Its totient is φ = 4888320.

The previous prime is 12221197. The next prime is 12221203. The reversal of 12221200 is 212221.

12221200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12221197) and next prime (12221203).

It can be written as a sum of positive squares in 3 ways, for example, as 82944 + 12138256 = 288^2 + 3484^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12221203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14877 + ... + 15676.

Almost surely, 212221200 is an apocalyptic number.

12221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221200 is an abundant number, since it is smaller than the sum of its proper divisors (17141194).

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

12221200 is a wasteful number, since it uses less digits than its factorization.

12221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30571 (or 30560 counting only the distinct ones).

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

The square root of 12221200 is about 3495.8832932465. The cubic root of 12221200 is about 230.3410190139.

Adding to 12221200 its reverse (212221), we get a palindrome (12433421).

It can be divided in two parts, 12221 and 200, that added together give a palindrome (12421).

The spelling of 12221200 in words is "twelve million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 30553 61106 122212 152765 244424 305530 488848 611060 763825 1222120 1527650 2444240 3055300 6110600 12221200