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12000322314300 = 22352238632015269
BaseRepresentation
bin1010111010100000101011…
…1100101110000000111100
31120111012221002120100220010
42232220022330232000330
53033103130003024200
641304512202223220
72345665113440235
oct256501274560074
946435832510803
1012000322314300
11390734310a361
1214198ab7b4b10
136908194012c8
142d6b6672008c
1515c25138b150
hexaea0af2e03c

12000322314300 has 144 divisors (see below), whose sum is σ = 36272538408960. Its totient is φ = 3057403388160.

The previous prime is 12000322314269. The next prime is 12000322314413. The reversal of 12000322314300 is 341322300021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4947066 + ... + 6962334.

It is an arithmetic number, because the mean of its divisors is an integer number (251892627840).

Almost surely, 212000322314300 is an apocalyptic number.

12000322314300 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 12000322314300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18136269204480).

12000322314300 is an abundant number, since it is smaller than the sum of its proper divisors (24272216094660).

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

12000322314300 is a wasteful number, since it uses less digits than its factorization.

12000322314300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016172 (or 2016165 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 12000322314300 its reverse (341322300021), we get a palindrome (12341644614321).

The spelling of 12000322314300 in words is "twelve trillion, three hundred twenty-two million, three hundred fourteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 863 1150 1380 1725 1726 2300 2589 3450 3452 4315 5178 6900 8630 10356 12945 17260 19849 21575 25890 39698 43150 51780 59547 64725 79396 86300 99245 119094 129450 198490 238188 258900 297735 396980 496225 595470 992450 1190940 1488675 1984900 2015269 2977350 4030538 5954700 6045807 8061076 10076345 12091614 20152690 24183228 30229035 40305380 46351187 50381725 60458070 92702374 100763450 120916140 139053561 151145175 185404748 201526900 231755935 278107122 302290350 463511870 556214244 604580700 695267805 927023740 1158779675 1390535610 1739177147 2317559350 2781071220 3476339025 3478354294 4635118700 5217531441 6952678050 6956708588 8695885735 10435062882 13905356100 17391771470 20870125764 26087657205 34783542940 40001074381 43479428675 52175314410 80002148762 86958857350 104350628820 120003223143 130438286025 160004297524 173917714700 200005371905 240006446286 260876572050 400010743810 480012892572 521753144100 600016115715 800021487620 1000026859525 1200032231430 2000053719050 2400064462860 3000080578575 4000107438100 6000161157150 12000322314300