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12001203320 = 23519130312119
BaseRepresentation
bin10110010110101001…
…11101010001111000
31010222101101021222212
423023110331101320
5144034302001240
65302511234252
7603254354651
oct131324752170
933871337885
1012001203320
1150a9403757
1223ab218988
131193496452
1481bc52528
154a390c165
hex2cb53d478

12001203320 has 64 divisors (see below), whose sum is σ = 28448064000. Its totient is φ = 4543959168.

The previous prime is 12001203287. The next prime is 12001203323. The reversal of 12001203320 is 2330210021.

It is a happy number.

It is a super-2 number, since 2×120012033202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12001203295 and 12001203304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001203323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 984221 + ... + 996339.

It is an arithmetic number, because the mean of its divisors is an integer number (444501000).

Almost surely, 212001203320 is an apocalyptic number.

12001203320 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 12001203320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14224032000).

12001203320 is an abundant number, since it is smaller than the sum of its proper divisors (16446860680).

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

12001203320 is a wasteful number, since it uses less digits than its factorization.

12001203320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13452 (or 13448 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 12001203320 its reverse (2330210021), we get a palindrome (14331413341).

The spelling of 12001203320 in words is "twelve billion, one million, two hundred three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 1303 2606 5212 6515 10424 12119 13030 24238 24757 26060 48476 49514 52120 60595 96952 99028 121190 123785 198056 230261 242380 247570 460522 484760 495140 921044 990280 1151305 1842088 2302610 4605220 9210440 15791057 31582114 63164228 78955285 126328456 157910570 300030083 315821140 600060166 631642280 1200120332 1500150415 2400240664 3000300830 6000601660 12001203320