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12030303121200 = 243252713371735737
BaseRepresentation
bin1010111100010000010111…
…1100011010111100110000
31120121002022111202011021200
42233010011330122330300
53034101030044334300
641330351151051200
72351106061210440
oct257040574327460
946532274664250
1012030303121200
113919028534321
121423678210b00
136935b6806330
142d83ac3b0120
1515ce08473200
hexaf105f1af30

12030303121200 has 1440 divisors, whose sum is σ = 53085773709696. Its totient is φ = 2454956605440.

The previous prime is 12030303121157. The next prime is 12030303121241. The reversal of 12030303121200 is 212130303021.

12030303121200 is a `hidden beast` number, since 1 + 203 + 0 + 30 + 312 + 120 + 0 = 666.

12030303121200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×120303031212003 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2096964732 + ... + 2096970468.

Almost surely, 212030303121200 is an apocalyptic number.

12030303121200 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 12030303121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26542886854848).

12030303121200 is an abundant number, since it is smaller than the sum of its proper divisors (41055470588496).

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

12030303121200 is a wasteful number, since it uses less digits than its factorization.

12030303121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5991 (or 5977 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12030303121200 its reverse (212130303021), we get a palindrome (12242433424221).

The spelling of 12030303121200 in words is "twelve trillion, thirty billion, three hundred three million, one hundred twenty-one thousand, two hundred".