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12110142112404 = 2237270792909377
BaseRepresentation
bin1011000000111001110010…
…1110000000001010010100
31120212201101121220010201220
42300032130232000022110
53041403032340044104
641431153353450340
72356633416351600
oct260163456001224
946781347803656
1012110142112404
11394997856a086
12143703a1109b0
1369ac9b48646b
142dc1c39d6500
1516002c73a7d9
hexb039cb80294

12110142112404 has 72 divisors (see below), whose sum is σ = 32875040399040. Its totient is φ = 3459550639104.

The previous prime is 12110142112403. The next prime is 12110142112421. The reversal of 12110142112404 is 40421124101121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12110142112403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2707764 + ... + 5617140.

It is an arithmetic number, because the mean of its divisors is an integer number (456597783320).

Almost surely, 212110142112404 is an apocalyptic number.

12110142112404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12110142112404 is an abundant number, since it is smaller than the sum of its proper divisors (20764898286636).

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

12110142112404 is a wasteful number, since it uses less digits than its factorization.

12110142112404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2916477 (or 2916468 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 12110142112404 its reverse (40421124101121), we get a palindrome (52531266213525).

The spelling of 12110142112404 in words is "twelve trillion, one hundred ten billion, one hundred forty-two million, one hundred twelve thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 7079 14158 21237 28316 42474 49553 84948 99106 148659 198212 297318 346871 594636 693742 1040613 1387484 2081226 2909377 4162452 5818754 8728131 11637508 17456262 20365639 34912524 40731278 61096917 81462556 122193834 142559473 244387668 285118946 427678419 570237892 855356838 1710713676 20595479783 41190959566 61786439349 82381919132 123572878698 144168358481 247145757396 288336716962 432505075443 576673433924 865010150886 1009178509367 1730020301772 2018357018734 3027535528101 4036714037468 6055071056202 12110142112404