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12012033330000 = 2432541112133367
BaseRepresentation
bin1010111011001100010011…
…1110101100101101010000
31120112100011020220121022100
42232303010332230231100
53033301121013030000
641314130230040400
72346561245434164
oct256630476545520
946470136817270
1012012033330000
113911302730830
1214200197a9100
13691964723cb2
142d7557bd4ca4
1515c6d9576a00
hexaecc4facb50

12012033330000 has 300 divisors, whose sum is σ = 45826711733088. Its totient is φ = 2912007840000.

The previous prime is 12012033329993. The next prime is 12012033330001. The reversal of 12012033330000 is 3333021021.

12012033330000 is a `hidden beast` number, since 1 + 20 + 12 + 0 + 333 + 300 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012033330001) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 5076684 + ... + 7056683.

Almost surely, 212012033330000 is an apocalyptic number.

12012033330000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012033330000 is an abundant number, since it is smaller than the sum of its proper divisors (33814678403088).

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

12012033330000 is a wasteful number, since it uses less digits than its factorization.

12012033330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12133412 (or 12133388 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 12012033330000 its reverse (3333021021), we get a palindrome (12015366351021).

The spelling of 12012033330000 in words is "twelve trillion, twelve billion, thirty-three million, three hundred thirty thousand".