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1323121203120 = 243547173678023
BaseRepresentation
bin10011010000010000001…
…010110101011110110000
311200111012120222021020110
4103100100022311132300
5133134223011444440
62451500011141320
7164410114443003
oct23202012653660
94614176867213
101323121203120
11470150475322
1219451a744840
1397a01312012
144807a1c753a
152463dbc7080
hex134102b57b0

1323121203120 has 160 divisors (see below), whose sum is σ = 4213165197312. Its totient is φ = 343328644096.

The previous prime is 1323121203029. The next prime is 1323121203139. The reversal of 1323121203120 is 213021213231.

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, 1612429 + ... + 2290451.

Almost surely, 21323121203120 is an apocalyptic number.

1323121203120 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 1323121203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106582598656).

1323121203120 is an abundant number, since it is smaller than the sum of its proper divisors (2890043994192).

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

1323121203120 is a wasteful number, since it uses less digits than its factorization.

1323121203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678259 (or 678253 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1323121203120 its reverse (213021213231), we get a palindrome (1536142416351).

The spelling of 1323121203120 in words is "one trillion, three hundred twenty-three billion, one hundred twenty-one million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 173 188 235 240 282 346 376 470 519 564 692 705 752 865 940 1038 1128 1384 1410 1730 1880 2076 2256 2595 2768 2820 3460 3760 4152 5190 5640 6920 8131 8304 10380 11280 13840 16262 20760 24393 32524 40655 41520 48786 65048 81310 97572 121965 130096 162620 195144 243930 325240 390288 487860 650480 678023 975720 1356046 1951440 2034069 2712092 3390115 4068138 5424184 6780230 8136276 10170345 10848368 13560460 16272552 20340690 27120920 31867081 32545104 40681380 54241840 63734162 81362760 95601243 117297979 127468324 159335405 162725520 191202486 234595958 254936648 318670810 351893937 382404972 469191916 478006215 509873296 586489895 637341620 703787874 764809944 938383832 956012430 1172979790 1274683240 1407575748 1529619888 1759469685 1876767664 1912024860 2345959580 2549366480 2815151496 3518939370 3824049720 4691919160 5513005013 5630302992 7037878740 7648099440 9383838320 11026010026 14075757480 16539015039 22052020052 27565025065 28151514960 33078030078 44104040104 55130050130 66156060156 82695075195 88208080208 110260100260 132312120312 165390150390 220520200520 264624240624 330780300780 441040401040 661560601560 1323121203120