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12012102102 = 23711136729851
BaseRepresentation
bin10110010111111101…
…00010000111010110
31011000010220000022110
423023332202013112
5144100044231402
65303541011450
7603446116560
oct131376420726
934003800273
1012012102102
115104578110
1223b29b3b86
131195811130
1481d48c330
154a486156c
hex2cbfa21d6

12012102102 has 128 divisors (see below), whose sum is σ = 32738807808. Its totient is φ = 2836944000.

The previous prime is 12012102101. The next prime is 12012102143. The reversal of 12012102102 is 20120121021.

It is a super-4 number, since 4×120121021024 (a number of 41 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012102101) by changing a digit.

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, 387477 + ... + 417327.

It is an arithmetic number, because the mean of its divisors is an integer number (255771936).

Almost surely, 212012102102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12012102102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16369403904).

12012102102 is an abundant number, since it is smaller than the sum of its proper divisors (20726705706).

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

12012102102 is a wasteful number, since it uses less digits than its factorization.

12012102102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29954.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12012102102 its reverse (20120121021), we get a palindrome (32132223123).

The spelling of 12012102102 in words is "twelve billion, twelve million, one hundred two thousand, one hundred two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 67 77 78 91 134 143 154 182 201 231 273 286 402 429 462 469 546 737 858 871 938 1001 1407 1474 1742 2002 2211 2613 2814 3003 4422 5159 5226 6006 6097 9581 10318 12194 15477 18291 19162 28743 29851 30954 36582 57486 59702 67067 89553 134134 179106 201201 208957 328361 388063 402402 417914 626871 656722 776126 985083 1164189 1253742 1970166 2000017 2298527 2328378 2716441 4000034 4268693 4597054 5432882 6000051 6895581 8149323 8537386 12000102 12806079 13791162 14000119 16298646 22000187 25612158 26000221 28000238 29880851 42000357 44000374 52000442 59761702 66000561 78000663 84000714 89642553 132001122 154001309 156001326 179285106 182001547 286002431 308002618 364003094 462003927 546004641 572004862 858007293 924007854 1092009282 1716014586 2002017017 4004034034 6006051051 12012102102