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12120000303 = 353101754717
BaseRepresentation
bin10110100100110100…
…01000011100101111
31011021122220210211010
423102122020130233
5144310210002203
65322353400303
7606226205565
oct132232103457
934248823733
1012120000303
11515a473684
122422b69093
1311b1c8b918
1482d937a35
154ae076303
hex2d268872f

12120000303 has 16 divisors (see below), whose sum is σ = 16627946976. Its totient is φ = 7849046400.

The previous prime is 12120000241. The next prime is 12120000313. The reversal of 12120000303 is 30300002121.

It is a happy number.

12120000303 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12120000303 - 28 = 12120000047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120000313) 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 15 ways as a sum of consecutive naturals, for example, 361300 + ... + 393417.

It is an arithmetic number, because the mean of its divisors is an integer number (1039246686).

Almost surely, 212120000303 is an apocalyptic number.

12120000303 is a deficient number, since it is larger than the sum of its proper divisors (4507946673).

12120000303 is a wasteful number, since it uses less digits than its factorization.

12120000303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754874.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 12120000303 its reverse (30300002121), we get a palindrome (42420002424).

It can be divided in two parts, 12120000 and 303, that multiplied together give a square (3672360000 = 606002).

The spelling of 12120000303 in words is "twelve billion, one hundred twenty million, three hundred three", and thus it is an aban number.

Divisors: 1 3 53 101 159 303 5353 16059 754717 2264151 40000001 76226417 120000003 228679251 4040000101 12120000303