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12204000 = 253353113
BaseRepresentation
bin101110100011…
…011111100000
3211222000202000
4232203133200
511111012000
61113324000
7205506114
oct56433740
924860660
1012204000
116986056
124106600
1326b3b03
141899744
151111000
hexba37e0

12204000 has 192 divisors, whose sum is σ = 44815680. Its totient is φ = 3225600.

The previous prime is 12203981. The next prime is 12204001. The reversal of 12204000 is 40221.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12204001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107944 + ... + 108056.

It is an arithmetic number, because the mean of its divisors is an integer number (233415).

Almost surely, 212204000 is an apocalyptic number.

12204000 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 12204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22407840).

12204000 is an abundant number, since it is smaller than the sum of its proper divisors (32611680).

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

12204000 is a wasteful number, since it uses less digits than its factorization.

12204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 12204000 is about 3493.4223907223. The cubic root of 12204000 is about 230.2329083643.

Adding to 12204000 its reverse (40221), we get a palindrome (12244221).

The spelling of 12204000 in words is "twelve million, two hundred four thousand".