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12123204210 = 23251350920357
BaseRepresentation
bin10110100101001100…
…10110101001110010
31011021212221120202100
423102212112221302
5144312020013320
65322550201230
7606265351455
oct132246265162
934255846670
1012123204210
115161261837
122424053216
1311b2841020
1483012d49c
154ae4aa790
hex2d2996a72

12123204210 has 96 divisors (see below), whose sum is σ = 34013332080. Its totient is φ = 2978164224.

The previous prime is 12123204173. The next prime is 12123204211. The reversal of 12123204210 is 1240232121.

It is a happy number.

12123204210 is a `hidden beast` number, since 1 + 212 + 32 + 0 + 421 + 0 = 666.

12123204210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 5397400089 + 6725804121 = 73467^2 + 82011^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12123204211) 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 47 ways as a sum of consecutive naturals, for example, 585352 + ... + 605708.

Almost surely, 212123204210 is an apocalyptic number.

12123204210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12123204210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17006666040).

12123204210 is an abundant number, since it is smaller than the sum of its proper divisors (21890127870).

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

12123204210 is a wasteful number, since it uses less digits than its factorization.

12123204210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20892 (or 20889 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12123204210 its reverse (1240232121), we get a palindrome (13363436331).

The spelling of 12123204210 in words is "twelve billion, one hundred twenty-three million, two hundred four thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 509 585 1018 1170 1527 2545 3054 4581 5090 6617 7635 9162 13234 15270 19851 20357 22905 33085 39702 40714 45810 59553 61071 66170 99255 101785 119106 122142 183213 198510 203570 264641 297765 305355 366426 529282 595530 610710 793923 916065 1323205 1587846 1832130 2381769 2646410 3969615 4763538 7939230 10361713 11908845 20723426 23817690 31085139 51808565 62170278 93255417 103617130 134702269 155425695 186510834 269404538 310851390 404106807 466277085 673511345 808213614 932554170 1212320421 1347022690 2020534035 2424640842 4041068070 6061602105 12123204210