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12001222002 = 23721123915527
BaseRepresentation
bin10110010110101010…
…00001110101110010
31010222101102020121210
423023111001311302
5144034303101002
65302511500550
7603254463300
oct131325016562
933871366553
1012001222002
1150a94167a0
1223ab227756
1311934a1ac3
1481bc59270
154a391296c
hex2cb541d72

12001222002 has 96 divisors (see below), whose sum is σ = 30588917760. Its totient is φ = 3103957920.

The previous prime is 12001222001. The next prime is 12001222019. The reversal of 12001222002 is 20022210021.

12001222002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12001222001) 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, 765163 + ... + 780689.

It is an arithmetic number, because the mean of its divisors is an integer number (318634560).

Almost surely, 212001222002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12001222002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15294458880).

12001222002 is an abundant number, since it is smaller than the sum of its proper divisors (18587695758).

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

12001222002 is a wasteful number, since it uses less digits than its factorization.

12001222002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15796 (or 15789 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12001222002 its reverse (20022210021), we get a palindrome (32023432023).

The spelling of 12001222002 in words is "twelve billion, one million, two hundred twenty-two thousand, two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 239 294 462 478 539 717 1078 1434 1617 1673 2629 3234 3346 5019 5258 7887 10038 11711 15527 15774 18403 23422 31054 35133 36806 46581 55209 70266 93162 108689 110418 128821 170797 217378 257642 326067 341594 386463 512391 652134 760823 772926 1024782 1195579 1521646 2282469 2391158 3586737 3710953 4564938 7173474 7421906 8369053 11132859 16738106 22265718 25107159 25976671 40820483 50214318 51953342 77930013 81640966 122461449 155860026 181836697 244922898 285743381 363673394 545510091 571486762 857230143 1091020182 1714460286 2000203667 4000407334 6000611001 12001222002