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12335441220240 = 2435421122084731
BaseRepresentation
bin1011001110000001000110…
…0101111001001010010000
31121200020221002220122212020
42303200101211321022100
53104100440423021430
642122453511331440
72412130506232515
oct263402145711220
947606832818766
1012335441220240
113a26481a91466
121472836380b80
136b62c4c86818
14309077a8130c
15165d16c66b10
hexb3811979290

12335441220240 has 80 divisors (see below), whose sum is σ = 38330699136576. Its totient is φ = 3281637542400.

The previous prime is 12335441220239. The next prime is 12335441220301. The reversal of 12335441220240 is 4202214453321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×123354412202402 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60941326 + ... + 61143405.

Almost surely, 212335441220240 is an apocalyptic number.

12335441220240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12335441220240 is an abundant number, since it is smaller than the sum of its proper divisors (25995257916336).

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

12335441220240 is a wasteful number, since it uses less digits than its factorization.

12335441220240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122085168 (or 122085162 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 12335441220240 its reverse (4202214453321), we get a palindrome (16537655673561).

The spelling of 12335441220240 in words is "twelve trillion, three hundred thirty-five billion, four hundred forty-one million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 421 842 1263 1684 2105 2526 3368 4210 5052 6315 6736 8420 10104 12630 16840 20208 25260 33680 50520 101040 122084731 244169462 366254193 488338924 610423655 732508386 976677848 1220847310 1465016772 1831270965 1953355696 2441694620 2930033544 3662541930 4883389240 5860067088 7325083860 9766778480 14650167720 29300335440 51397671751 102795343502 154193015253 205590687004 256988358755 308386030506 411181374008 513976717510 616772061012 770965076265 822362748016 1027953435020 1233544122024 1541930152530 2055906870040 2467088244048 3083860305060 4111813740080 6167720610120 12335441220240