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12342442112 = 277111396329
BaseRepresentation
bin10110111111010101…
…01011100010000000
31011212011111000121122
423133222223202000
5200234131121422
65400421211412
7614600012150
oct133752534200
934764430548
1012342442112
115263a94490
122485560b68
1312190a28b0
148512bc760
154c3864d42
hex2dfaab880

12342442112 has 128 divisors (see below), whose sum is σ = 33014217600. Its totient is φ = 4438794240.

The previous prime is 12342442103. The next prime is 12342442141. The reversal of 12342442112 is 21124424321.

12342442112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (26).

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 15 ways as a sum of consecutive naturals, for example, 79964 + ... + 176292.

It is an arithmetic number, because the mean of its divisors is an integer number (257923575).

Almost surely, 212342442112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12342442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16507108800).

12342442112 is an abundant number, since it is smaller than the sum of its proper divisors (20671775488).

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

12342442112 is a wasteful number, since it uses less digits than its factorization.

12342442112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96374 (or 96362 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

Adding to 12342442112 its reverse (21124424321), we get a palindrome (33466866433).

It can be divided in two parts, 12342 and 442112, that added together give a palindrome (454454).

The spelling of 12342442112 in words is "twelve billion, three hundred forty-two million, four hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 64 77 88 91 104 112 128 143 154 176 182 208 224 286 308 352 364 416 448 572 616 704 728 832 896 1001 1144 1232 1408 1456 1664 2002 2288 2464 2912 4004 4576 4928 5824 8008 9152 9856 11648 16016 18304 32032 64064 96329 128128 192658 385316 674303 770632 1059619 1252277 1348606 1541264 2119238 2504554 2697212 3082528 4238476 5009108 5394424 6165056 7417333 8476952 8765939 10018216 10788848 12330112 13775047 14834666 16953904 17531878 20036432 21577696 27550094 29669332 33907808 35063756 40072864 43155392 55100188 59338664 67815616 70127512 80145728 86310784 96425329 110200376 118677328 135631232 140255024 160291456 192850658 220400752 237354656 280510048 385701316 440801504 474709312 561020096 771402632 881603008 949418624 1122040192 1542805264 1763206016 3085610528 6171221056 12342442112