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12066031068 = 223721361113229
BaseRepresentation
bin10110011110011000…
…10000010111011100
31011010220100212221120
423033030100113130
5144202400443233
65313144530540
7605002400100
oct131714202734
934126325846
1012066031068
115131a61803
122408a80a50
1311a3a43970
148266c9900
154a94654b3
hex2cf3105dc

12066031068 has 288 divisors, whose sum is σ = 36323300160. Its totient is φ = 3088834560.

The previous prime is 12066031067. The next prime is 12066031121. The reversal of 12066031068 is 86013066021.

12066031068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12066031063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52689978 + ... + 52690206.

It is an arithmetic number, because the mean of its divisors is an integer number (126122570).

Almost surely, 212066031068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12066031068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18161650080).

12066031068 is an abundant number, since it is smaller than the sum of its proper divisors (24257269092).

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

12066031068 is a wasteful number, since it uses less digits than its factorization.

12066031068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

Adding to 12066031068 its reverse (86013066021), we get a palindrome (98079097089).

The spelling of 12066031068 in words is "twelve billion, sixty-six million, thirty-one thousand, sixty-eight".