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12053344820 = 22511229415971
BaseRepresentation
bin10110011100110111…
…10111001000110100
31011010000111100200112
423032123313020310
5144141124013240
65312013002152
7604456511666
oct131633671064
934100440615
1012053344820
115125887400
122404783358
1311a12214ca
14824b46536
154a82ab665
hex2ce6f7234

12053344820 has 288 divisors, whose sum is σ = 30405715200. Its totient is φ = 4001536000.

The previous prime is 12053344817. The next prime is 12053344859. The reversal of 12053344820 is 2844335021.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 169765385 + ... + 169765455.

It is an arithmetic number, because the mean of its divisors is an integer number (105575400).

Almost surely, 212053344820 is an apocalyptic number.

12053344820 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 12053344820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15202857600).

12053344820 is an abundant number, since it is smaller than the sum of its proper divisors (18352370380).

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

12053344820 is a wasteful number, since it uses less digits than its factorization.

12053344820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 12053344820 its reverse (2844335021), we get a palindrome (14897679841).

The spelling of 12053344820 in words is "twelve billion, fifty-three million, three hundred forty-four thousand, eight hundred twenty".