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12010133323332 = 2233439472730899
BaseRepresentation
bin1010111011000101001110…
…1110101111111001000100
31120112011020211201021011000
42232301103232233321010
53033233223112321312
641313213514213300
72346463204566144
oct256612356577104
946464224637130
1012010133323332
113910518180691
12141b789424230
13691720bba3b1
142d7417728924
1515c627866adc
hexaec53bafe44

12010133323332 has 96 divisors (see below), whose sum is σ = 31895164224000. Its totient is φ = 3906145416096.

The previous prime is 12010133323319. The next prime is 12010133323333. The reversal of 12010133323332 is 23332333101021.

12010133323332 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 0 + 1 + 3 + 3 + 323 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12010133323296 and 12010133323305.

It is not an unprimeable number, because it can be changed into a prime (12010133323333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3032419 + ... + 5763317.

It is an arithmetic number, because the mean of its divisors is an integer number (332241294000).

Almost surely, 212010133323332 is an apocalyptic number.

12010133323332 is a gapful number since it is divisible by the number (12) 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 12010133323332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15947582112000).

12010133323332 is an abundant number, since it is smaller than the sum of its proper divisors (19885030900668).

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

12010133323332 is a wasteful number, since it uses less digits than its factorization.

12010133323332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2731902 (or 2731894 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 12010133323332 its reverse (23332333101021), we get a palindrome (35342466424353).

The spelling of 12010133323332 in words is "twelve trillion, ten billion, one hundred thirty-three million, three hundred twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 387 516 774 947 1161 1548 1894 2322 2841 3788 4644 5682 8523 11364 17046 25569 34092 40721 51138 81442 102276 122163 162884 244326 366489 488652 732978 1099467 1465956 2198934 2730899 4397868 5461798 8192697 10923596 16385394 24578091 32770788 49156182 73734273 98312364 117428657 147468546 234857314 294937092 352285971 469714628 704571942 1056857913 1409143884 2113715826 2586161353 3170573739 4227431652 5172322706 6341147478 7758484059 10344645412 12682294956 15516968118 23275452177 31033936236 46550904354 69826356531 93101808708 111204938179 139652713062 222409876358 279305426124 333614814537 444819752716 667229629074 1000844443611 1334459258148 2001688887222 3002533330833 4003377774444 6005066661666 12010133323332