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12301001110200 = 23352113171018971
BaseRepresentation
bin1011001100000000110011…
…0011010011001010111000
31121112222000220202210120010
42303000030303103022320
53103014422241011300
642055000224301520
72406501163151445
oct263001463231270
947488026683503
1012301001110200
113a12909493000
1214680244718a0
136b2c96a56a9a
1430752ba7a9cc
15164e9d42ea50
hexb300ccd32b8

12301001110200 has 768 divisors, whose sum is σ = 44855526919680. Its totient is φ = 2778547200000.

The previous prime is 12301001110163. The next prime is 12301001110231. The reversal of 12301001110200 is 201110010321.

Adding to 12301001110200 its reverse (201110010321), we get a palindrome (12502111120521).

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

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 1371191715 + ... + 1371200685.

It is an arithmetic number, because the mean of its divisors is an integer number (58405634010).

Almost surely, 212301001110200 is an apocalyptic number.

12301001110200 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 12301001110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22427763459840).

12301001110200 is an abundant number, since it is smaller than the sum of its proper divisors (32554525809480).

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

12301001110200 is a wasteful number, since it uses less digits than its factorization.

12301001110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9141 (or 9110 counting only the distinct ones).

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

The spelling of 12301001110200 in words is "twelve trillion, three hundred one billion, one million, one hundred ten thousand, two hundred".