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12332301031320 = 23351672399256517
BaseRepresentation
bin1011001101110101011001…
…1011000001011110011000
31121122221211021002112110220
42303131112123001132120
53104023023031000240
642121214134240040
72411656626122004
oct263352633013630
947587737075426
1012332301031320
113a25110480006
1214720ba7b6020
136b5c14529c7a
14308c5a9c5704
15165bd12305d0
hexb37566c1798

12332301031320 has 128 divisors (see below), whose sum is σ = 37234100736000. Its totient is φ = 3267545954816.

The previous prime is 12332301031319. The next prime is 12332301031321. The reversal of 12332301031320 is 2313010323321.

It is an interprime number because it is at equal distance from previous prime (12332301031319) and next prime (12332301031321).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12332301031321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47947702 + ... + 48204218.

It is an arithmetic number, because the mean of its divisors is an integer number (290891412000).

Almost surely, 212332301031320 is an apocalyptic number.

12332301031320 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 12332301031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18617050368000).

12332301031320 is an abundant number, since it is smaller than the sum of its proper divisors (24901799704680).

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

12332301031320 is a wasteful number, since it uses less digits than its factorization.

12332301031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259097 (or 259093 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 12332301031320 its reverse (2313010323321), we get a palindrome (14645311354641).

The spelling of 12332301031320 in words is "twelve trillion, three hundred thirty-two billion, three hundred one million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 167 334 501 668 835 1002 1336 1670 2004 2399 2505 3340 4008 4798 5010 6680 7197 9596 10020 11995 14394 19192 20040 23990 28788 35985 47980 57576 71970 95960 143940 256517 287880 400633 513034 769551 801266 1026068 1201899 1282585 1539102 1602532 2003165 2052136 2403798 2565170 3078204 3205064 3847755 4006330 4807596 5130340 6009495 6156408 7695510 8012660 9615192 10260680 12018990 15391020 16025320 24037980 30782040 42838339 48075960 85676678 128515017 171353356 214191695 257030034 342706712 428383390 514060068 615384283 642575085 856766780 1028120136 1230768566 1285150170 1713533560 1846152849 2461537132 2570300340 3076921415 3692305698 4923074264 5140600680 6153842830 7384611396 9230764245 12307685660 14769222792 18461528490 24615371320 36923056980 73846113960 102769175261 205538350522 308307525783 411076701044 513845876305 616615051566 822153402088 1027691752610 1233230103132 1541537628915 2055383505220 2466460206264 3083075257830 4110767010440 6166150515660 12332301031320