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12000301224 = 2331759736829
BaseRepresentation
bin10110010110100011…
…00001000010101000
31010222022200110112220
423023101201002220
5144034034114344
65302440034040
7603243606642
oct131321410250
933868613486
1012000301224
1150a8947a1a
1223aaa62920
13119323b972
1481ba99892
154a37cec19
hex2cb4610a8

12000301224 has 128 divisors (see below), whose sum is σ = 32751216000. Its totient is φ = 3649757184.

The previous prime is 12000301211. The next prime is 12000301249. The reversal of 12000301224 is 42210300021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1753842 + ... + 1760670.

It is an arithmetic number, because the mean of its divisors is an integer number (255868875).

Almost surely, 212000301224 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 12000301224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16375608000).

12000301224 is an abundant number, since it is smaller than the sum of its proper divisors (20750914776).

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

12000301224 is a wasteful number, since it uses less digits than its factorization.

12000301224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6987 (or 6983 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12000301224 its reverse (42210300021), we get a palindrome (54210601245).

The spelling of 12000301224 in words is "twelve billion, three hundred one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 59 68 73 102 118 136 146 177 204 219 236 292 354 408 438 472 584 708 876 1003 1241 1416 1752 2006 2482 3009 3723 4012 4307 4964 6018 6829 7446 8024 8614 9928 12036 12921 13658 14892 17228 20487 24072 25842 27316 29784 34456 40974 51684 54632 73219 81948 103368 116093 146438 163896 219657 232186 292876 348279 402911 439314 464372 498517 585752 696558 805822 878628 928744 997034 1208733 1393116 1495551 1611644 1757256 1994068 2417466 2786232 2991102 3223288 3988136 4834932 5982204 6849487 8474789 9669864 11964408 13698974 16949578 20548461 25424367 27397948 29412503 33899156 41096922 50848734 54795896 58825006 67798312 82193844 88237509 101697468 117650012 164387688 176475018 203394936 235300024 352950036 500012551 705900072 1000025102 1500037653 2000050204 3000075306 4000100408 6000150612 12000301224