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12133312002 = 23371012831123
BaseRepresentation
bin10110100110011001…
…11010011000000010
31011022120222010001000
423103030322120002
5144322111441002
65323550552430
7606450310320
oct132314723002
934276863030
1012133312002
115166a35989
122427508716
1311b496c976
14831600d10
154b030561c
hex2d333a602

12133312002 has 128 divisors (see below), whose sum is σ = 31257630720. Its totient is φ = 3417163200.

The previous prime is 12133311997. The next prime is 12133312019. The reversal of 12133312002 is 20021333121.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10803813 + ... + 10804935.

It is an arithmetic number, because the mean of its divisors is an integer number (244200240).

Almost surely, 212133312002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12133312002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15628815360).

12133312002 is an abundant number, since it is smaller than the sum of its proper divisors (19124318718).

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

12133312002 is a wasteful number, since it uses less digits than its factorization.

12133312002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1519 counting only the distinct ones).

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

Adding to 12133312002 its reverse (20021333121), we get a palindrome (32154645123).

The spelling of 12133312002 in words is "twelve billion, one hundred thirty-three million, three hundred twelve thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 101 126 189 202 283 303 378 566 606 707 849 909 1123 1414 1698 1818 1981 2121 2246 2547 2727 3369 3962 4242 5094 5454 5943 6363 6738 7641 7861 10107 11886 12726 15282 15722 17829 19089 20214 23583 28583 30321 35658 38178 47166 53487 57166 60642 70749 85749 106974 113423 141498 171498 200081 212247 226846 257247 317809 340269 400162 424494 514494 600243 635618 680538 771741 793961 953427 1020807 1200486 1543482 1587922 1800729 1906854 2041614 2224663 2381883 2860281 3062421 3601458 4449326 4763766 5402187 5720562 6124842 6673989 7145649 8580843 10804374 13347978 14291298 17161686 20021967 21436947 32098709 40043934 42873894 60065901 64197418 96296127 120131802 192592254 224690963 288888381 449381926 577776762 674072889 866665143 1348145778 1733330286 2022218667 4044437334 6066656001 12133312002