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12060303840 = 2535513107223
BaseRepresentation
bin10110011101101100…
…11010000111100000
31011010111120220200000
423032312122013200
5144144414210330
65312422100000
7604602614454
oct131666320740
934114526600
1012060303840
1151297aa862
122406b7a600
1311a27b9b80
14825a38664
154a8bd3560
hex2ced9a1e0

12060303840 has 576 divisors, whose sum is σ = 46600759296. Its totient is φ = 2927757312.

The previous prime is 12060303833. The next prime is 12060303841. The reversal of 12060303840 is 4830306021.

It is a happy number.

12060303840 is a `hidden beast` number, since 1 + 20 + 603 + 0 + 38 + 4 + 0 = 666.

12060303840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12060303841) 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, 54081969 + ... + 54082191.

It is an arithmetic number, because the mean of its divisors is an integer number (80904096).

Almost surely, 212060303840 is an apocalyptic number.

12060303840 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 12060303840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23300379648).

12060303840 is an abundant number, since it is smaller than the sum of its proper divisors (34540455456).

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

12060303840 is a wasteful number, since it uses less digits than its factorization.

12060303840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 12060303840 its reverse (4830306021), we get a palindrome (16890609861).

The spelling of 12060303840 in words is "twelve billion, sixty million, three hundred three thousand, eight hundred forty".