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12123330232200 = 23352112879638023
BaseRepresentation
bin1011000001101010111011…
…0010101011111110001000
31120220222102201200001001020
42300122232302223332020
53042112040014412300
641441214144552440
72360611265463465
oct260325662537610
946828381601036
1012123330232200
113954525952740
1214396ba922720
1369c2c0812b45
142dcab533066c
1516055044b8a0
hexb06aecabf88

12123330232200 has 192 divisors, whose sum is σ = 41013203558400. Its totient is φ = 2937963705600.

The previous prime is 12123330232187. The next prime is 12123330232253. The reversal of 12123330232200 is 223203332121.

It is a super-5 number, since 5×121233302322005 (a number of 67 digits) contains 55555 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18682389 + ... + 19320411.

It is an arithmetic number, because the mean of its divisors is an integer number (213610435200).

Almost surely, 212123330232200 is an apocalyptic number.

12123330232200 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 12123330232200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20506601779200).

12123330232200 is an abundant number, since it is smaller than the sum of its proper divisors (28889873326200).

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

12123330232200 is a wasteful number, since it uses less digits than its factorization.

12123330232200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640932 (or 640923 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 12123330232200 its reverse (223203332121), we get a palindrome (12346533564321).

The spelling of 12123330232200 in words is "twelve trillion, one hundred twenty-three billion, three hundred thirty million, two hundred thirty-two thousand, two hundred".