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12322133344 = 2523127241547
BaseRepresentation
bin10110111100111010…
…01101010101100000
31011210202021020020001
423132131031111200
5200213431231334
65354414025344
7614232256003
oct133635152540
934722236201
1012322133344
115253583184
12247a7a8254
131214b11a81
1484c71353a
154c1ba2714
hex2de74d560

12322133344 has 96 divisors (see below), whose sum is σ = 25665970176. Its totient is φ = 5811886080.

The previous prime is 12322133339. The next prime is 12322133353. The reversal of 12322133344 is 44333122321.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22526479 + ... + 22527025.

It is an arithmetic number, because the mean of its divisors is an integer number (267353856).

Almost surely, 212322133344 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 12322133344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12832985088).

12322133344 is an abundant number, since it is smaller than the sum of its proper divisors (13343836832).

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

12322133344 is a wasteful number, since it uses less digits than its factorization.

12322133344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 940 counting only the distinct ones).

The product of its digits is 10368, while the sum is 28.

Adding to 12322133344 its reverse (44333122321), we get a palindrome (56655255665).

The spelling of 12322133344 in words is "twelve billion, three hundred twenty-two million, one hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 92 127 184 241 254 368 482 508 547 736 964 1016 1094 1928 2032 2188 2921 3856 4064 4376 5543 5842 7712 8752 11086 11684 12581 17504 22172 23368 25162 30607 44344 46736 50324 61214 69469 88688 93472 100648 122428 131827 138938 177376 201296 244856 263654 277876 402592 489712 527308 555752 703961 979424 1054616 1111504 1407922 1597787 2109232 2223008 2815844 3032021 3195574 4218464 5631688 6064042 6391148 11263376 12128084 12782296 16742029 22526752 24256168 25564592 33484058 48512336 51129184 66968116 97024672 133936232 267872464 385066667 535744928 770133334 1540266668 3080533336 6161066672 12322133344