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12023200200 = 23352116312887
BaseRepresentation
bin10110011001010001…
…10111100111001000
31011000220202212001010
423030220313213020
5144110414401300
65305014523520
7603642341544
oct131450674710
934026685033
1012023200200
11510a8682a0
1223b66665a0
131197bc875b
14820b3aa24
154a5804a50
hex2cca379c8

12023200200 has 192 divisors, whose sum is σ = 40738821120. Its totient is φ = 2909088000.

The previous prime is 12023200187. The next prime is 12023200249. The reversal of 12023200200 is 200232021.

12023200200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4163157 + ... + 4166043.

It is an arithmetic number, because the mean of its divisors is an integer number (212181360).

Almost surely, 212023200200 is an apocalyptic number.

12023200200 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 12023200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20369410560).

12023200200 is an abundant number, since it is smaller than the sum of its proper divisors (28715620920).

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

12023200200 is a wasteful number, since it uses less digits than its factorization.

12023200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3548 (or 3539 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 12023200200 its reverse (200232021), we get a palindrome (12223432221).

The spelling of 12023200200 in words is "twelve billion, twenty-three million, two hundred thousand, two hundred".