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1200320340032 = 261173137170483
BaseRepresentation
bin10001011101111000101…
…010101110000001000000
311020202020101111001220002
4101131320222232001000
5124131224001340112
62315230342335132
7152502025356002
oct21357052560100
94222211431802
101200320340032
114230645a3320
12174768a2a4a8
1389260a87918
144214acb4372
1521352db61c2
hex11778aae040

1200320340032 has 112 divisors (see below), whose sum is σ = 2653257494592. Its totient is φ = 534195118080.

The previous prime is 1200320340031. The next prime is 1200320340047. The reversal of 1200320340032 is 2300430230021.

It is a super-2 number, since 2×12003203400322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1200320339986 and 1200320340013.

It is not an unprimeable number, because it can be changed into a prime (1200320340031) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6955463 + ... + 7125945.

Almost surely, 21200320340032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200320340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326628747296).

1200320340032 is an abundant number, since it is smaller than the sum of its proper divisors (1452937154560).

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

1200320340032 is a wasteful number, since it uses less digits than its factorization.

1200320340032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170716 (or 170706 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 1200320340032 its reverse (2300430230021), we get a palindrome (3500750570053).

The spelling of 1200320340032 in words is "one trillion, two hundred billion, three hundred twenty million, three hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 73 88 137 146 176 274 292 352 548 584 704 803 1096 1168 1507 1606 2192 2336 3014 3212 4384 4672 6028 6424 8768 10001 12056 12848 20002 24112 25696 40004 48224 51392 80008 96448 110011 160016 170483 220022 320032 340966 440044 640064 681932 880088 1363864 1760176 1875313 2727728 3520352 3750626 5455456 7040704 7501252 10910912 12445259 15002504 23356171 24890518 30005008 46712342 49781036 60010016 93424684 99562072 120020032 136897849 186849368 199124144 256917881 273795698 373698736 398248288 513835762 547591396 747397472 796496576 1027671524 1095182792 1494794944 1705000483 2055343048 2190365584 3410000966 4110686096 4380731168 6820001932 8221372192 8761462336 13640003864 16442744384 18755005313 27280007728 37510010626 54560015456 75020021252 109120030912 150040042504 300080085008 600160170016 1200320340032