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12069000450 = 232521319234721
BaseRepresentation
bin10110011110101111…
…00101010100000010
31011011002221202011200
423033113211110002
5144204131003300
65313332322030
7605036545143
oct131727452402
934132852150
1012069000450
1151336aa741
122409a73316
1311a45433b0
14826c5daca
154a9850200
hex2cf5e5502

12069000450 has 288 divisors, whose sum is σ = 38363794560. Its totient is φ = 2691532800.

The previous prime is 12069000439. The next prime is 12069000509. The reversal of 12069000450 is 5400096021.

12069000450 is a `hidden beast` number, since 1 + 206 + 9 + 0 + 0 + 0 + 450 = 666.

12069000450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 2554090 + ... + 2558810.

It is an arithmetic number, because the mean of its divisors is an integer number (133207620).

Almost surely, 212069000450 is an apocalyptic number.

12069000450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12069000450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19181897280).

12069000450 is an abundant number, since it is smaller than the sum of its proper divisors (26294794110).

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

12069000450 is a wasteful number, since it uses less digits than its factorization.

12069000450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4794 (or 4786 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 12069000450 its reverse (5400096021), we get a palindrome (17469096471).

The spelling of 12069000450 in words is "twelve billion, sixty-nine million, four hundred fifty", and thus it is an aban number.