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12203013123 = 3678997277
BaseRepresentation
bin10110101110101101…
…10011010000000011
31011111110010022000000
423113112303100003
5144442432404443
65334520531043
7611254620510
oct132726632003
934443108000
1012203013123
1151a2312414
122446920a83
1311c6235432
1483a986307
154b64c28d3
hex2d75b3403

12203013123 has 112 divisors (see below), whose sum is σ = 21439938240. Its totient is φ = 6799085568.

The previous prime is 12203013089. The next prime is 12203013127. The reversal of 12203013123 is 32131030221.

12203013123 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 12203013123 - 29 = 12203012611 is a prime.

It is a super-2 number, since 2×122030131232 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12203013096 and 12203013105.

It is not an unprimeable number, because it can be changed into a prime (12203013127) 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 111 ways as a sum of consecutive naturals, for example, 44054061 + ... + 44054337.

It is an arithmetic number, because the mean of its divisors is an integer number (191428020).

Almost surely, 212203013123 is an apocalyptic number.

12203013123 is a deficient number, since it is larger than the sum of its proper divisors (9236925117).

12203013123 is an frugal number, since it uses more digits than its factorization.

12203013123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12203013123 its reverse (32131030221), we get a palindrome (44334043344).

The spelling of 12203013123 in words is "twelve billion, two hundred three million, thirteen thousand, one hundred twenty-three".

Divisors: 1 3 7 9 21 27 63 81 89 97 189 243 267 277 291 567 623 679 729 801 831 873 1701 1869 1939 2037 2403 2493 2619 5103 5607 5817 6111 7209 7479 7857 8633 16821 17451 18333 21627 22437 23571 24653 25899 26869 50463 52353 54999 60431 64881 67311 70713 73959 77697 80607 151389 157059 164997 172571 181293 188083 201933 221877 233091 241821 454167 471177 494991 517713 543879 564249 665631 699273 725463 1413531 1553139 1631637 1692747 1996893 2097819 2176389 2391341 4659417 4894911 5078241 5990679 6293457 6529167 7174023 13978251 14684733 15234723 16739387 17972037 19587501 21522069 41934753 44054199 45704169 50218161 64566207 125804259 137112507 150654483 193698621 451963449 581095863 1355890347 1743287589 4067671041 12203013123