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12123002321 = 311423274817
BaseRepresentation
bin10110100101001011…
…00101010111010001
31011021212120022210222
423102211211113101
5144311442033241
65322542002425
7606263551043
oct132245452721
934255508728
1012123002321
115161134091
122423b76415
1311b27a0171
148300b9a93
154ae46aa4b
hex2d29655d1

12123002321 has 8 divisors (see below), whose sum is σ = 12522906624. Its totient is φ = 11723650560.

The previous prime is 12123002299. The next prime is 12123002363. The reversal of 12123002321 is 12320032121.

12123002321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12123002321 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12123002321.

It is not an unprimeable number, because it can be changed into a prime (12123002371) 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 7 ways as a sum of consecutive naturals, for example, 93296 + ... + 181521.

It is an arithmetic number, because the mean of its divisors is an integer number (1565363328).

Almost surely, 212123002321 is an apocalyptic number.

It is an amenable number.

12123002321 is a deficient number, since it is larger than the sum of its proper divisors (399904303).

12123002321 is a wasteful number, since it uses less digits than its factorization.

12123002321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276271.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 12123002321 its reverse (12320032121), we get a palindrome (24443034442).

The spelling of 12123002321 in words is "twelve billion, one hundred twenty-three million, two thousand, three hundred twenty-one".

Divisors: 1 31 1423 44113 274817 8519327 391064591 12123002321