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12000033330030 = 23753311657699
BaseRepresentation
bin1010111010011111100110…
…1110010101001101101110
31120111012011221210110000000
42232213321232111031232
53033102032013030110
641304423400245130
72345655004220424
oct256477156251556
946435157713000
1012000033330030
113907204a7a189
12141982aa707a6
136907a158c4b5
142d6b3a1b7114
1515c235d061c0
hexae9f9b9536e

12000033330030 has 128 divisors (see below), whose sum is σ = 32493041856000. Its totient is φ = 3190339262880.

The previous prime is 12000033330029. The next prime is 12000033330031. The reversal of 12000033330030 is 3003333000021.

12000033330030 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 0 + 0 + 333 + 300 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (12000033330029) and next prime (12000033330031).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12000033329985 and 12000033330012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000033330031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6410121 + ... + 8067819.

It is an arithmetic number, because the mean of its divisors is an integer number (253851889500).

Almost surely, 212000033330030 is an apocalyptic number.

12000033330030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12000033330030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16246520928000).

12000033330030 is an abundant number, since it is smaller than the sum of its proper divisors (20493008525970).

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

12000033330030 is an equidigital number, since it uses as much as digits as its factorization.

12000033330030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658058 (or 1658040 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 12000033330030 its reverse (3003333000021), we get a palindrome (15003366330051).

The spelling of 12000033330030 in words is "twelve trillion, thirty-three million, three hundred thirty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 331 405 486 662 729 810 993 1215 1458 1655 1986 2187 2430 2979 3310 3645 4374 4965 5958 7290 8937 9930 10935 14895 17874 21870 26811 29790 44685 53622 80433 89370 134055 160866 241299 268110 402165 482598 723897 804330 1206495 1447794 1657699 2412990 3315398 3619485 4973097 7238970 8288495 9946194 14919291 16576990 24865485 29838582 44757873 49730970 74596455 89515746 134273619 149192910 223789365 268547238 402820857 447578730 548698369 671368095 805641714 1097396738 1208462571 1342736190 1646095107 2014104285 2416925142 2743491845 3292190214 3625387713 4028208570 4938285321 5486983690 6042312855 7250775426 8230475535 9876570642 12084625710 14814855963 16460951070 18126938565 24691426605 29629711926 36253877130 44444567889 49382853210 74074279815 88889135778 133333703667 148148559630 222222839445 266667407334 400001111001 444445678890 666668518335 800002222002 1200003333003 1333337036670 2000005555005 2400006666006 4000011110010 6000016665015 12000033330030