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12045222364 = 22717139307593
BaseRepresentation
bin10110011011111001…
…11000000111011100
31011002110012200202211
423031330320013130
5144132034103424
65311122530204
7604330462240
oct131574700734
934073180684
1012045222364
11512123992a
122401b06964
13119c639416
14823a30420
154a7704b94
hex2cdf381dc

12045222364 has 96 divisors (see below), whose sum is σ = 25818186240. Its totient is φ = 4799803392.

The previous prime is 12045222341. The next prime is 12045222377. The reversal of 12045222364 is 46322254021.

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 31 ways as a sum of consecutive naturals, for example, 20312052 + ... + 20312644.

It is an arithmetic number, because the mean of its divisors is an integer number (268939440).

Almost surely, 212045222364 is an apocalyptic number.

12045222364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12045222364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12909093120).

12045222364 is an abundant number, since it is smaller than the sum of its proper divisors (13772963876).

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

12045222364 is a wasteful number, since it uses less digits than its factorization.

12045222364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 12045222364 its reverse (46322254021), we get a palindrome (58367476385).

The spelling of 12045222364 in words is "twelve billion, forty-five million, two hundred twenty-two thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 17 28 34 68 119 139 238 278 307 476 556 593 614 973 1186 1228 1946 2149 2363 2372 3892 4151 4298 4726 5219 8302 8596 9452 10081 10438 16541 16604 20162 20876 33082 36533 40324 42673 66164 70567 73066 82427 85346 141134 146132 164854 170692 182051 282268 298711 329708 364102 576989 597422 725441 728204 1153978 1194844 1274357 1401259 1450882 2307956 2548714 2802518 2901764 3094867 5078087 5097428 5605036 6189734 9808813 10156174 12379468 19617626 20312348 21664069 25305089 39235252 43328138 50610178 86656276 101220356 177135623 354271246 430186513 708542492 860373026 1720746052 3011305591 6022611182 12045222364