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12023210344200 = 233521156316092011
BaseRepresentation
bin1010111011110101111100…
…1011100111111100001000
31120120102000012102202101020
42232331133023213330020
53033442013322003300
641323215300152440
72350435234461336
oct256753713477410
946512005382336
1012023210344200
113916018881a50
121422218998720
13692a26218473
142d7cd83c2b56
1515cb4092e8a0
hexaef5f2e7f08

12023210344200 has 384 divisors, whose sum is σ = 40778115033600. Its totient is φ = 2906286336000.

The previous prime is 12023210344199. The next prime is 12023210344231. The reversal of 12023210344200 is 244301232021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5978721195 + ... + 5978723205.

It is an arithmetic number, because the mean of its divisors is an integer number (106193007900).

Almost surely, 212023210344200 is an apocalyptic number.

12023210344200 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 12023210344200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20389057516800).

12023210344200 is an abundant number, since it is smaller than the sum of its proper divisors (28754904689400).

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

12023210344200 is a wasteful number, since it uses less digits than its factorization.

12023210344200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4213 (or 4204 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12023210344200 its reverse (244301232021), we get a palindrome (12267511576221).

The spelling of 12023210344200 in words is "twelve trillion, twenty-three billion, two hundred ten million, three hundred forty-four thousand, two hundred".