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13201120122000 = 2435318671178461
BaseRepresentation
bin1100000000011010000000…
…0100110101010010010000
31201202000101202111022021220
43000012200010311102100
53212241343222401000
644024302202445040
72531515030416246
oct300064004652220
951660352438256
1013201120122000
11422a62217a158
121592570503780
13749b25082075
14338d1aba2796
1517d5d11191a0
hexc01a0135490

13201120122000 has 160 divisors (see below), whose sum is σ = 42583243557504. Its totient is φ = 3518410176000.

The previous prime is 13201120121999. The next prime is 13201120122013. The reversal of 13201120122000 is 22102110231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10612770 + ... + 11791230.

Almost surely, 213201120122000 is an apocalyptic number.

13201120122000 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 13201120122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21291621778752).

13201120122000 is an abundant number, since it is smaller than the sum of its proper divisors (29382123435504).

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

13201120122000 is a wasteful number, since it uses less digits than its factorization.

13201120122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180354 (or 1180338 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 13201120122000 its reverse (22102110231), we get a palindrome (13223222232231).

The spelling of 13201120122000 in words is "thirteen trillion, two hundred one billion, one hundred twenty million, one hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 1867 2000 3000 3734 5601 6000 7468 9335 11202 14936 18670 22404 28005 29872 37340 44808 46675 56010 74680 89616 93350 112020 140025 149360 186700 224040 233375 280050 373400 448080 466750 560100 700125 746800 933500 1120200 1178461 1400250 1867000 2240400 2356922 2800500 3535383 3734000 4713844 5601000 5892305 7070766 9427688 11202000 11784610 14141532 17676915 18855376 23569220 28283064 29461525 35353830 47138440 56566128 58923050 70707660 88384575 94276880 117846100 141415320 147307625 176769150 235692200 282830640 294615250 353538300 441922875 471384400 589230500 707076600 883845750 1178461000 1414153200 1767691500 2200186687 2356922000 3535383000 4400373374 6600560061 7070766000 8800746748 11000933435 13201120122 17601493496 22001866870 26402240244 33002800305 35202986992 44003733740 52804480488 55004667175 66005600610 88007467480 105608960976 110009334350 132011201220 165014001525 176014934960 220018668700 264022402440 275023335875 330028003050 440037337400 528044804880 550046671750 660056006100 825070007625 880074674800 1100093343500 1320112012200 1650140015250 2200186687000 2640224024400 3300280030500 4400373374000 6600560061000 13201120122000