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12240321320 = 235306008033
BaseRepresentation
bin10110110011001010…
…00111101100101000
31011121001022202020002
423121211013230220
5200032010240240
65342332322132
7612220004663
oct133145075450
934531282202
1012240321320
115211384637
122457313348
131200b989a6
148418d86da
154b98e1d15
hex2d9947b28

12240321320 has 16 divisors (see below), whose sum is σ = 27540723060. Its totient is φ = 4896128512.

The previous prime is 12240321311. The next prime is 12240321329. The reversal of 12240321320 is 2312304221.

12240321320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12240321311) and next prime (12240321329).

It can be written as a sum of positive squares in 2 ways, for example, as 10725087844 + 1515233476 = 103562^2 + 38926^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12240321292 and 12240321301.

It is not an unprimeable number, because it can be changed into a prime (12240321329) 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 3 ways as a sum of consecutive naturals, for example, 153003977 + ... + 153004056.

Almost surely, 212240321320 is an apocalyptic number.

12240321320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12240321320 is an abundant number, since it is smaller than the sum of its proper divisors (15300401740).

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

12240321320 is a wasteful number, since it uses less digits than its factorization.

12240321320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306008044 (or 306008040 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12240321320 its reverse (2312304221), we get a palindrome (14552625541).

The spelling of 12240321320 in words is "twelve billion, two hundred forty million, three hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 306008033 612016066 1224032132 1530040165 2448064264 3060080330 6120160660 12240321320