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1205201313320 = 2353119126918917
BaseRepresentation
bin10001100010011011100…
…110001001111000101000
311021012211112220012111112
4101202123212021320220
5124221223014011240
62321354542445452
7153034004064554
oct21423346117050
94235745805445
101205201313320
114251397a3844
121756ab593888
138985b0705b4
1442491230864
152153b65a665
hex1189b989e28

1205201313320 has 128 divisors (see below), whose sum is σ = 2824442265600. Its totient is φ = 462337305600.

The previous prime is 1205201313307. The next prime is 1205201313331. The reversal of 1205201313320 is 233131025021.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63700502 + ... + 63719418.

It is an arithmetic number, because the mean of its divisors is an integer number (22065955200).

Almost surely, 21205201313320 is an apocalyptic number.

1205201313320 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 1205201313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412221132800).

1205201313320 is an abundant number, since it is smaller than the sum of its proper divisors (1619240952280).

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

1205201313320 is a wasteful number, since it uses less digits than its factorization.

1205201313320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19419 (or 19415 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

Adding to 1205201313320 its reverse (233131025021), we get a palindrome (1438332338341).

The spelling of 1205201313320 in words is "one trillion, two hundred five billion, two hundred one million, three hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 191 248 269 310 382 538 620 764 955 1076 1240 1345 1528 1910 2152 2690 3820 5380 5921 7640 8339 10760 11842 16678 18917 23684 29605 33356 37834 41695 47368 51379 59210 66712 75668 83390 94585 102758 118420 151336 166780 189170 205516 236840 256895 333560 378340 411032 513790 586427 756680 1027580 1172854 1592749 2055160 2345708 2932135 3185498 3613147 4691416 5088673 5864270 6370996 7226294 7963745 10177346 11728540 12741992 14452588 15927490 18065735 20354692 23457080 25443365 28905176 31854980 36131470 40709384 50886730 63709960 72262940 101773460 112007557 144525880 157748863 203546920 224015114 315497726 448030228 560037785 630995452 788744315 896060456 971936543 1120075570 1261990904 1577488630 1943873086 2240151140 3154977260 3887746172 4480302280 4859682715 6309954520 7775492344 9719365430 19438730860 30130032833 38877461720 60260065666 120520131332 150650164165 241040262664 301300328330 602600656660 1205201313320