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120131221002 = 2313103127281419
BaseRepresentation
bin110111111100001100…
…0001111011000001010
3102111002011002022212120
41233320120033120022
53432012043033002
6131104300552110
711451651346632
oct1577030173012
9374064068776
10120131221002
1146a46a40431
121b347852636
13b43643c830
145b589436c2
1531d1775cbc
hex1bf860f60a

120131221002 has 128 divisors (see below), whose sum is σ = 264881111040. Its totient is φ = 36100753920.

The previous prime is 120131220977. The next prime is 120131221037. The reversal of 120131221002 is 200122131021.

120131221002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 286709149 + ... + 286709567.

It is an arithmetic number, because the mean of its divisors is an integer number (2069383680).

Almost surely, 2120131221002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120131221002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132440555520).

120131221002 is an abundant number, since it is smaller than the sum of its proper divisors (144749890038).

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

120131221002 is a wasteful number, since it uses less digits than its factorization.

120131221002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 120131221002 its reverse (200122131021), we get a palindrome (320253352023).

The spelling of 120131221002 in words is "one hundred twenty billion, one hundred thirty-one million, two hundred twenty-one thousand, two".

Divisors: 1 2 3 6 13 26 39 78 103 127 206 254 281 309 381 419 562 618 762 838 843 1257 1339 1651 1686 2514 2678 3302 3653 4017 4953 5447 7306 8034 9906 10894 10959 13081 16341 21918 26162 28943 32682 35687 39243 43157 53213 57886 71374 78486 86314 86829 106426 107061 117739 129471 159639 170053 173658 214122 235478 258942 319278 340106 353217 376259 463931 510159 561041 691769 706434 752518 927862 1020318 1122082 1128777 1383538 1391793 1530607 1683123 2075307 2257554 2783586 3061214 3366246 3675761 4150614 4591821 5480939 7351522 9183642 10961878 11027283 12127117 14952853 16442817 22054566 24254234 29905706 32885634 36381351 44858559 47784893 71252207 72762702 89717118 95569786 142504414 143354679 157652521 194387089 213756621 286709358 315305042 388774178 427513242 472957563 583161267 945915126 1166322534 1540143859 3080287718 4620431577 9240863154 20021870167 40043740334 60065610501 120131221002