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12012133002300 = 223652193853759
BaseRepresentation
bin1010111011001100101011…
…1010111010110000111100
31120112100102012110111000000
42232303022322322300330
53033301322022033200
641314144150234300
72346563565563034
oct256631272726074
946470365414000
1012012133002300
113911353a19032
121420047055990
1369197c2815a2
142d756713c8c4
1515c6e31b4300
hexaeccaebac3c

12012133002300 has 252 divisors, whose sum is σ = 39284156208640. Its totient is φ = 3186634659840.

The previous prime is 12012133002293. The next prime is 12012133002323. The reversal of 12012133002300 is 320033121021.

12012133002300 is a `hidden beast` number, since 1 + 20 + 12 + 1 + 330 + 0 + 2 + 300 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 13642821 + ... + 14496579.

Almost surely, 212012133002300 is an apocalyptic number.

12012133002300 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 12012133002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19642078104320).

12012133002300 is an abundant number, since it is smaller than the sum of its proper divisors (27272023206340).

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

12012133002300 is a wasteful number, since it uses less digits than its factorization.

12012133002300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853984 (or 853962 counting only the distinct ones).

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

Adding to 12012133002300 its reverse (320033121021), we get a palindrome (12332166123321).

The spelling of 12012133002300 in words is "twelve trillion, twelve billion, one hundred thirty-three million, two thousand, three hundred".