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12033024130320 = 2435314673463259
BaseRepresentation
bin1010111100011010100000…
…1000001111110100010000
31120121100100010210202002020
42233012220020033310100
53034122113134132240
641331521151451440
72351233361334564
oct257065010176420
946540303722066
1012033024130320
11391a1a446a796
1214240b7526b80
1369392b4675bb
142d85899116a4
1515d0172a80d0
hexaf1a820fd10

12033024130320 has 160 divisors (see below), whose sum is σ = 38588141629440. Its totient is φ = 3098646197760.

The previous prime is 12033024130307. The next prime is 12033024130349. The reversal of 12033024130320 is 2303142033021.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1742851 + ... + 5206109.

It is an arithmetic number, because the mean of its divisors is an integer number (241175885184).

Almost surely, 212033024130320 is an apocalyptic number.

12033024130320 is a gapful number since it is divisible by the number (10) 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 12033024130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19294070814720).

12033024130320 is an abundant number, since it is smaller than the sum of its proper divisors (26555117499120).

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

12033024130320 is a wasteful number, since it uses less digits than its factorization.

12033024130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3463773 (or 3463767 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 12033024130320 its reverse (2303142033021), we get a palindrome (14336166163341).

The spelling of 12033024130320 in words is "twelve trillion, thirty-three billion, twenty-four million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 467 496 620 744 930 934 1240 1401 1488 1860 1868 2335 2480 2802 3720 3736 4670 5604 7005 7440 7472 9340 11208 14010 14477 18680 22416 28020 28954 37360 43431 56040 57908 72385 86862 112080 115816 144770 173724 217155 231632 289540 347448 434310 579080 694896 868620 1158160 1737240 3463259 3474480 6926518 10389777 13853036 17316295 20779554 27706072 34632590 41559108 51948885 55412144 69265180 83118216 103897770 107361029 138530360 166236432 207795540 214722058 277060720 322083087 415591080 429444116 536805145 644166174 831182160 858888232 1073610290 1288332348 1610415435 1617341953 1717776464 2147220580 2576664696 3220830870 3234683906 4294441160 4852025859 5153329392 6441661740 6469367812 8086709765 8588882320 9704051718 12883323480 12938735624 16173419530 19408103436 24260129295 25766646960 25877471248 32346839060 38816206872 48520258590 50137600543 64693678120 77632413744 97040517180 100275201086 129387356240 150412801629 194081034360 200550402172 250688002715 300825603258 388162068720 401100804344 501376005430 601651206516 752064008145 802201608688 1002752010860 1203302413032 1504128016290 2005504021720 2406604826064 3008256032580 4011008043440 6016512065160 12033024130320