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12231313120 = 2551313034513
BaseRepresentation
bin10110110010000101…
…10000011011100000
31011120102101002022001
423121002300123200
5200022204004440
65341411253344
7612050306005
oct133102603340
934512332261
1012231313120
115207291644
1224542aa254
1311cc0636b0
148406318ac
154b8c12b9a
hex2d90b06e0

12231313120 has 96 divisors (see below), whose sum is σ = 31150066752. Its totient is φ = 4511711232.

The previous prime is 12231313111. The next prime is 12231313169. The reversal of 12231313120 is 2131313221.

It is a congruent number.

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, 2707984 + ... + 2712496.

It is an arithmetic number, because the mean of its divisors is an integer number (324479862).

Almost surely, 212231313120 is an apocalyptic number.

12231313120 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 12231313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15575033376).

12231313120 is an abundant number, since it is smaller than the sum of its proper divisors (18918753632).

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

12231313120 is a wasteful number, since it uses less digits than its factorization.

12231313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5844 (or 5836 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 12231313120 its reverse (2131313221), we get a palindrome (14362626341).

It can be divided in two parts, 12 and 231313120, that added together give a palindrome (231313132).

The spelling of 12231313120 in words is "twelve billion, two hundred thirty-one million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 1303 2080 2606 4513 5212 6515 9026 10424 13030 16939 18052 20848 22565 26060 33878 36104 41696 45130 52120 58669 67756 72208 84695 90260 104240 117338 135512 144416 169390 180520 208480 234676 271024 293345 338780 361040 469352 542048 586690 677560 722080 938704 1173380 1355120 1877408 2346760 2710240 4693520 5880439 9387040 11760878 23521756 29402195 47043512 58804390 76445707 94087024 117608780 152891414 188174048 235217560 305782828 382228535 470435120 611565656 764457070 940870240 1223131312 1528914140 2446262624 3057828280 6115656560 12231313120