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12033132304 = 2417237611153
BaseRepresentation
bin10110011010011101…
…10000011100010000
31011001121110110022211
423031032300130100
5144120440213204
65310011441504
7604122636244
oct131516603420
934047413284
1012033132304
115115431446
1223b9a56294
131199c9543b
148221a4424
154a6617804
hex2cd3b0710

12033132304 has 120 divisors (see below), whose sum is σ = 25875048008. Its totient is φ = 5414584320.

The previous prime is 12033132299. The next prime is 12033132373. The reversal of 12033132304 is 40323133021.

It can be written as a sum of positive squares in 12 ways, for example, as 3429904 + 12029702400 = 1852^2 + 109680^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10435792 + ... + 10436944.

Almost surely, 212033132304 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 12033132304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12937524004).

12033132304 is an abundant number, since it is smaller than the sum of its proper divisors (13841915704).

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

12033132304 is a wasteful number, since it uses less digits than its factorization.

12033132304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 12033132304 its reverse (40323133021), we get a palindrome (52356265325).

The spelling of 12033132304 in words is "twelve billion, thirty-three million, one hundred thirty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 17 34 37 61 68 74 122 136 148 244 272 289 296 488 578 592 629 976 1037 1153 1156 1258 2074 2257 2306 2312 2516 4148 4514 4612 4624 5032 8296 9028 9224 10064 10693 16592 17629 18056 18448 19601 21386 35258 36112 38369 39202 42661 42772 70333 70516 76738 78404 85322 85544 140666 141032 153476 156808 170644 171088 281332 282064 306952 313616 333217 341288 562664 613904 652273 666434 682576 725237 1125328 1195661 1304546 1332868 1450474 2391322 2602321 2609092 2665736 2900948 4782644 5204642 5218184 5331472 5801896 9565288 10409284 10436368 11603792 12329029 19130576 20326237 20818568 24658058 40652474 41637136 44239457 49316116 81304948 88478914 98632232 162609896 176957828 197264464 325219792 353915656 707831312 752070769 1504141538 3008283076 6016566152 12033132304