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12212010224442 = 2327223159597859
BaseRepresentation
bin1011000110110101010010…
…0010000000101100111010
31121020110022222201101221100
42301231110202000230322
53100040144104140232
641550041532552230
72400200666126100
oct261552442005472
947213288641840
1012212010224442
1139890a2450426
121452929622676
136a7784013332
143030c8bbdc70
151629e0984c7c
hexb1b54880b3a

12212010224442 has 72 divisors (see below), whose sum is σ = 30780630784800. Its totient is φ = 3488989282128.

The previous prime is 12212010224399. The next prime is 12212010224443. The reversal of 12212010224442 is 24442201021221.

12212010224442 is a `hidden beast` number, since 1 + 2 + 212 + 0 + 1 + 0 + 2 + 2 + 4 + 442 = 666.

It is a super-2 number, since 2×122120102244422 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12212010224443) 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 35 ways as a sum of consecutive naturals, for example, 20127309 + ... + 20725167.

It is an arithmetic number, because the mean of its divisors is an integer number (427508760900).

Almost surely, 212212010224442 is an apocalyptic number.

12212010224442 is an abundant number, since it is smaller than the sum of its proper divisors (18568620560358).

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

12212010224442 is a wasteful number, since it uses less digits than its factorization.

12212010224442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621040 (or 621030 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 12212010224442 its reverse (24442201021221), we get a palindrome (36654211245663).

The spelling of 12212010224442 in words is "twelve trillion, two hundred twelve billion, ten million, two hundred twenty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 23159 46318 69477 138954 162113 208431 324226 416862 486339 597859 972678 1134791 1195718 1459017 1793577 2269582 2918034 3404373 3587154 4185013 5380731 6808746 8370026 10213119 10761462 12555039 20426238 25110078 29295091 37665117 58590182 75330234 87885273 175770546 263655819 527311638 13845816581 27691633162 41537449743 83074899486 96920716067 124612349229 193841432134 249224698458 290762148201 581524296402 678445012469 872286444603 1356890024938 1744572889206 2035335037407 4070670074814 6106005112221 12212010224442