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12033132020200 = 235260165660101
BaseRepresentation
bin1010111100011010111010…
…0011110100000111101000
31120121100121122211010011201
42233012232203310013220
53034122323244121300
641331540004133544
72351236141360414
oct257065643640750
946540548733151
1012033132020200
11391a24a35aa85
1214241276972b4
13693947911375
142d8599d97d44
1515d0219ba66a
hexaf1ae8f41e8

12033132020200 has 24 divisors (see below), whose sum is σ = 27977031947430. Its totient is φ = 4813252808000.

The previous prime is 12033132020197. The next prime is 12033132020201. The reversal of 12033132020200 is 202023133021.

It can be written as a sum of positive squares in 3 ways, for example, as 9705231163684 + 2327900856516 = 3115322^2 + 1525746^2 .

It is not an unprimeable number, because it can be changed into a prime (12033132020201) 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 5 ways as a sum of consecutive naturals, for example, 30082829851 + ... + 30082830250.

Almost surely, 212033132020200 is an apocalyptic number.

12033132020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12033132020200 is an abundant number, since it is smaller than the sum of its proper divisors (15943899927230).

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

12033132020200 is a wasteful number, since it uses less digits than its factorization.

12033132020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60165660117 (or 60165660108 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 12033132020200 its reverse (202023133021), we get a palindrome (12235155153221).

The spelling of 12033132020200 in words is "twelve trillion, thirty-three billion, one hundred thirty-two million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 60165660101 120331320202 240662640404 300828300505 481325280808 601656601010 1203313202020 1504141502525 2406626404040 3008283005050 6016566010100 12033132020200