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12134110144 = 2613194317851
BaseRepresentation
bin10110100110011111…
…11101001111000000
31011022122110122212211
423103033331033000
5144322313011034
65324020031504
7606460143262
oct132317751700
934278418784
1012134110144
115167430602
122427832594
1311b4b8c040
1483176bb32
154b0411d64
hex2d33fd3c0

12134110144 has 112 divisors (see below), whose sum is σ = 27931953280. Its totient is φ = 5181926400.

The previous prime is 12134110091. The next prime is 12134110181. The reversal of 12134110144 is 44101143121.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 670819 + ... + 688669.

It is an arithmetic number, because the mean of its divisors is an integer number (249392440).

Almost surely, 212134110144 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 12134110144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13965976640).

12134110144 is an abundant number, since it is smaller than the sum of its proper divisors (15797843136).

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

12134110144 is a wasteful number, since it uses less digits than its factorization.

12134110144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17938 (or 17928 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 12134110144 its reverse (44101143121), we get a palindrome (56235253265).

The spelling of 12134110144 in words is "twelve billion, one hundred thirty-four million, one hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 19 26 32 38 43 52 64 76 86 104 152 172 208 247 304 344 416 494 559 608 688 817 832 988 1118 1216 1376 1634 1976 2236 2752 3268 3952 4472 6536 7904 8944 10621 13072 15808 17851 17888 21242 26144 35702 35776 42484 52288 71404 84968 142808 169936 232063 285616 339169 339872 464126 571232 678338 679744 767593 928252 1142464 1356676 1535186 1856504 2713352 3070372 3713008 4409197 5426704 6140744 7426016 8818394 9978709 10853408 12281488 14584267 14852032 17636788 19957418 21706816 24562976 29168534 35273576 39914836 49125952 58337068 70547152 79829672 116674136 141094304 159659344 189595471 233348272 282188608 319318688 379190942 466696544 638637376 758381884 933393088 1516763768 3033527536 6067055072 12134110144