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12303103223120 = 2452331439491327
BaseRepresentation
bin1011001100001000101000…
…0110001110010101010000
31121120011110102021012101012
42303002022012032111100
53103033223411114440
642055545000030052
72406604236625523
oct263021206162520
947504412235335
1012303103223120
113a13798034606
121468510462328
136b3240404598
1430768ad16bba
15165072c62e65
hexb308a18e550

12303103223120 has 160 divisors (see below), whose sum is σ = 30881497743360. Its totient is φ = 4545040642560.

The previous prime is 12303103223119. The next prime is 12303103223149. The reversal of 12303103223120 is 2132230130321.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24794897 + ... + 25286223.

It is an arithmetic number, because the mean of its divisors is an integer number (193009360896).

Almost surely, 212303103223120 is an apocalyptic number.

12303103223120 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 12303103223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15440748871680).

12303103223120 is an abundant number, since it is smaller than the sum of its proper divisors (18578394520240).

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

12303103223120 is a wasteful number, since it uses less digits than its factorization.

12303103223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491833 (or 491827 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 12303103223120 its reverse (2132230130321), we get a palindrome (14435333353441).

The spelling of 12303103223120 in words is "twelve trillion, three hundred three billion, one hundred three million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 31 40 46 62 80 92 115 124 155 184 230 248 310 368 439 460 496 620 713 878 920 1240 1426 1756 1840 2195 2480 2852 3512 3565 4390 5704 7024 7130 8780 10097 11408 13609 14260 17560 20194 27218 28520 35120 40388 50485 54436 57040 68045 80776 100970 108872 136090 161552 201940 217744 272180 313007 403880 491327 544360 626014 807760 982654 1088720 1252028 1565035 1965308 2456635 2504056 3130070 3930616 4913270 5008112 6260140 7861232 9826540 11300521 12520280 15231137 19653080 22601042 25040560 30462274 39306160 45202084 56502605 60924548 76155685 90404168 113005210 121849096 152311370 180808336 215692553 226010420 243698192 304622740 350316151 431385106 452020840 609245480 700632302 862770212 904041680 1078462765 1218490960 1401264604 1725540424 1751580755 2156925530 2802529208 3451080848 3503161510 4313851060 4960928719 5605058416 6686469143 7006323020 8627702120 9921857438 13372938286 14012646040 17255404240 19843714876 24804643595 26745876572 28025292080 33432345715 39687429752 49609287190 53491753144 66864691430 79374859504 99218574380 106983506288 133729382860 153788790289 198437148760 267458765720 307577580578 396874297520 534917531440 615155161156 768943951445 1230310322312 1537887902890 2460620644624 3075775805780 6151551611560 12303103223120