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12033100800 = 21034527829
BaseRepresentation
bin10110011010011101…
…01000110000000000
31011001121101212010000
423031032220300000
5144120433211200
65310011040000
7604122445350
oct131516506000
934047355100
1012033100800
11511540a806
1223b9a40000
131199c83cb6
14822196b60
154a660d300
hex2cd3a8c00

12033100800 has 660 divisors, whose sum is σ = 50983892080. Its totient is φ = 2747105280.

The previous prime is 12033100733. The next prime is 12033100801. The reversal of 12033100800 is 800133021.

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

It is not an unprimeable number, because it can be changed into a prime (12033100801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14514786 + ... + 14515614.

Almost surely, 212033100800 is an apocalyptic number.

12033100800 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 12033100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25491946040).

12033100800 is an abundant number, since it is smaller than the sum of its proper divisors (38950791280).

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

12033100800 is an equidigital number, since it uses as much as digits as its factorization.

12033100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12033100800 its reverse (800133021), we get a palindrome (12833233821).

The spelling of 12033100800 in words is "twelve billion, thirty-three million, one hundred thousand, eight hundred".