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12044242122 = 23114310142019
BaseRepresentation
bin10110011011110010…
…01000110011001010
31011002101100220010120
423031321020303022
5144131311221442
65311045524110
7604316240343
oct131571106312
934071326116
1012044242122
11512072a410
122401713636
13119c3851b3
148238570ca
154a75ae4ec
hex2cde48cca

12044242122 has 64 divisors (see below), whose sum is σ = 27156349440. Its totient is φ = 3529512000.

The previous prime is 12044242099. The next prime is 12044242141. The reversal of 12044242122 is 22124244021.

It is a happy number.

12044242122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12044242092 and 12044242101.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 265629 + ... + 307647.

It is an arithmetic number, because the mean of its divisors is an integer number (424317960).

Almost surely, 212044242122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12044242122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13578174720).

12044242122 is an abundant number, since it is smaller than the sum of its proper divisors (15112107318).

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

12044242122 is a wasteful number, since it uses less digits than its factorization.

12044242122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42179.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 12044242122 its reverse (22124244021), we get a palindrome (34168486143).

The spelling of 12044242122 in words is "twelve billion, forty-four million, two hundred forty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 43 66 86 101 129 202 258 303 473 606 946 1111 1419 2222 2838 3333 4343 6666 8686 13029 26058 42019 47773 84038 95546 126057 143319 252114 286638 462209 924418 1386627 1806817 2773254 3613634 4243919 5420451 8487838 10840902 12731757 19874987 25463514 39749974 46683109 59624961 93366218 119249922 140049327 182488517 280098654 364977034 547465551 1094931102 2007373687 4014747374 6022121061 12044242122