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12104022244224 = 273175917919779
BaseRepresentation
bin1011000000100010111111…
…1100100011101110000000
31120212010121010021121211110
42300020233330203232000
53041303014143303344
641424302215443320
72356325645341401
oct260105774435600
946763533247743
1012104022244224
113947318007589
121435a10686540
1369a53460b7a1
142dbba2d039a8
1515ecc03263b9
hexb022ff23b80

12104022244224 has 64 divisors (see below), whose sum is σ = 32169589056000. Its totient is φ = 4032380124672.

The previous prime is 12104022244199. The next prime is 12104022244297. The reversal of 12104022244224 is 42244222040121.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 12104022244191 and 12104022244200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8284434 + ... + 9635345.

It is an arithmetic number, because the mean of its divisors is an integer number (502649829000).

Almost surely, 212104022244224 is an apocalyptic number.

It is an amenable number.

12104022244224 is an abundant number, since it is smaller than the sum of its proper divisors (20065566811776).

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

12104022244224 is a wasteful number, since it uses less digits than its factorization.

12104022244224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17921555 (or 17921543 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 12104022244224 its reverse (42244222040121), we get a palindrome (54348244284345).

The spelling of 12104022244224 in words is "twelve trillion, one hundred four billion, twenty-two million, two hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1759 3518 5277 7036 10554 14072 21108 28144 42216 56288 84432 112576 168864 225152 337728 675456 17919779 35839558 53759337 71679116 107518674 143358232 215037348 286716464 430074696 573432928 860149392 1146865856 1720298784 2293731712 3440597568 6881195136 31520891261 63041782522 94562673783 126083565044 189125347566 252167130088 378250695132 504334260176 756501390264 1008668520352 1513002780528 2017337040704 3026005561056 4034674081408 6052011122112 12104022244224