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12123011219 = 1117419154723
BaseRepresentation
bin10110100101001011…
…00111100010010011
31011021212120210000112
423102211213202103
5144311442324334
65322542111535
7606263616014
oct132245474223
934255523015
1012123011219
11516113a840
122423b7b5ab
1311b27a4227
148300bd00b
154ae46d4ce
hex2d2967893

12123011219 has 16 divisors (see below), whose sum is σ = 14036561280. Its totient is φ = 10347807360.

The previous prime is 12123011213. The next prime is 12123011267. The reversal of 12123011219 is 91211032121.

12123011219 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 12123011219 - 216 = 12122945683 is a prime.

It is a super-2 number, since 2×121230112192 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12123011194 and 12123011203.

It is not an unprimeable number, because it can be changed into a prime (12123011213) 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, 992 + ... + 155714.

It is an arithmetic number, because the mean of its divisors is an integer number (877285080).

Almost surely, 212123011219 is an apocalyptic number.

12123011219 is a deficient number, since it is larger than the sum of its proper divisors (1913550061).

12123011219 is a wasteful number, since it uses less digits than its factorization.

12123011219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155170.

The product of its (nonzero) digits is 216, while the sum is 23.

The spelling of 12123011219 in words is "twelve billion, one hundred twenty-three million, eleven thousand, two hundred nineteen".

Divisors: 1 11 17 187 419 4609 7123 78353 154723 1701953 2630291 28933201 64828937 713118307 1102091929 12123011219