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12075200928 = 2533722312401
BaseRepresentation
bin10110011111011110…
…01111000110100000
31011011112121202122000
423033233033012200
5144212222412203
65314113244000
7605143341300
oct131757170640
934145552560
1012075200928
1151371551aa
12240bb63600
1311a590470b
148279d5600
154aa1774a3
hex2cfbcf1a0

12075200928 has 288 divisors, whose sum is σ = 42754158720. Its totient is φ = 3299788800.

The previous prime is 12075200923. The next prime is 12075200981. The reversal of 12075200928 is 82900257021.

12075200928 is a `hidden beast` number, since 120 + 7 + 520 + 0 + 9 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×120752009282 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12075200892 and 12075200901.

It is not an unprimeable number, because it can be changed into a prime (12075200923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 967528 + ... + 979928.

It is an arithmetic number, because the mean of its divisors is an integer number (148451940).

Almost surely, 212075200928 is an apocalyptic number.

12075200928 is a gapful number since it is divisible by the number (18) 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 12075200928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21377079360).

12075200928 is an abundant number, since it is smaller than the sum of its proper divisors (30678957792).

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

12075200928 is a wasteful number, since it uses less digits than its factorization.

12075200928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12457 (or 12436 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 12075200928 its reverse (82900257021), we get a palindrome (94975457949).

The spelling of 12075200928 in words is "twelve billion, seventy-five million, two hundred thousand, nine hundred twenty-eight".