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12032403133120 = 265373997101111
BaseRepresentation
bin1010111100011000001100…
…0111010101001011000000
31120121021201212021211001221
42233012003013111023000
53034114330200224440
641331335405404424
72351212111054246
oct257060307251300
946537655254057
1012032403133120
113919a05980367
121423b63569714
1369385c8c9736
142d852b260796
1515cecc9ddd4a
hexaf1831d52c0

12032403133120 has 112 divisors (see below), whose sum is σ = 28758075242688. Its totient is φ = 4795195944960.

The previous prime is 12032403133117. The next prime is 12032403133171. The reversal of 12032403133120 is 2133130423021.

It is a super-3 number, since 3×120324031331203 (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118951365 + ... + 119052475.

Almost surely, 212032403133120 is an apocalyptic number.

12032403133120 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 12032403133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14379037621344).

12032403133120 is an abundant number, since it is smaller than the sum of its proper divisors (16725672109568).

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

12032403133120 is a wasteful number, since it uses less digits than its factorization.

12032403133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102498 (or 102488 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 12032403133120 its reverse (2133130423021), we get a palindrome (14165533556141).

The spelling of 12032403133120 in words is "twelve trillion, thirty-two billion, four hundred three million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 373 746 997 1492 1865 1994 2984 3730 3988 4985 5968 7460 7976 9970 11936 14920 15952 19940 23872 29840 31904 39880 59680 63808 79760 101111 119360 159520 202222 319040 371881 404444 505555 743762 808888 1011110 1487524 1617776 1859405 2022220 2975048 3235552 3718810 4044440 5950096 6471104 7437620 8088880 11900192 14875240 16177760 23800384 29750480 32355520 37714403 59500960 75428806 100807667 119001920 150857612 188572015 201615334 301715224 377144030 403230668 504038335 603430448 754288060 806461336 1008076670 1206860896 1508576120 1612922672 2016153340 2413721792 3017152240 3225845344 4032306680 6034304480 6451690688 8064613360 12068608960 16129226720 32258453440 37601259791 75202519582 150405039164 188006298955 300810078328 376012597910 601620156656 752025195820 1203240313312 1504050391640 2406480626624 3008100783280 6016201566560 12032403133120