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123320341200 = 24352741358073
BaseRepresentation
bin111001011011001110…
…1110001001011010000
3102210022101222102100110
41302312131301023100
54010030001404300
6132352542521320
711623664414310
oct1626635611320
9383271872313
10123320341200
1148333132661
121ba97896240
13b82406c1c4
145d7c2d9440
15331b725550
hex1cb67712d0

123320341200 has 240 divisors, whose sum is σ = 462482649216. Its totient is φ = 27499929600.

The previous prime is 123320341091. The next prime is 123320341201. The reversal of 123320341200 is 2143023321.

123320341200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123320341201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165364 + ... + 523436.

Almost surely, 2123320341200 is an apocalyptic number.

123320341200 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 123320341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231241324608).

123320341200 is an abundant number, since it is smaller than the sum of its proper divisors (339162308016).

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

123320341200 is a wasteful number, since it uses less digits than its factorization.

123320341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358142 (or 358131 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 123320341200 its reverse (2143023321), we get a palindrome (125463364521).

The spelling of 123320341200 in words is "one hundred twenty-three billion, three hundred twenty million, three hundred forty-one thousand, two hundred".