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12303300300000 = 25355231783087
BaseRepresentation
bin1011001100001001010111…
…0110000000110011100000
31121120011222011002202000220
42303002111312000303200
53103034124334100000
642100020320043040
72406612152016633
oct263022566006340
947504864082026
1012303300300000
113a13889300366
121468566463480
136b32721a7218
143076a9177c1a
151650851e11a0
hexb3095d80ce0

12303300300000 has 288 divisors, whose sum is σ = 42122757970944. Its totient is φ = 3138231360000.

The previous prime is 12303300299993. The next prime is 12303300300029. The reversal of 12303300300000 is 300330321.

It is a super-3 number, since 3×123033003000003 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6008457 + ... + 7791543.

It is an arithmetic number, because the mean of its divisors is an integer number (146259576288).

Almost surely, 212303300300000 is an apocalyptic number.

12303300300000 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 12303300300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21061378985472).

12303300300000 is an abundant number, since it is smaller than the sum of its proper divisors (29819457670944).

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

12303300300000 is an equidigital number, since it uses as much as digits as its factorization.

12303300300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783148 (or 1783120 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 12303300300000 its reverse (300330321), we get a palindrome (12303600630321).

The spelling of 12303300300000 in words is "twelve trillion, three hundred three billion, three hundred million, three hundred thousand".