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12211022320 = 245759599617
BaseRepresentation
bin10110101111101010…
…10110100111110000
31011112000012012112221
423113311112213300
5200002010203240
65335404330424
7611412656110
oct132765264760
934460165487
1012211022320
1151a6892892
122449543a14
1311c7aaaac3
1483ba6d040
154b7055a4a
hex2d7d569f0

12211022320 has 160 divisors (see below), whose sum is σ = 33105024000. Its totient is φ = 4102146048.

The previous prime is 12211022297. The next prime is 12211022321. The reversal of 12211022320 is 2322011221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12211022294 and 12211022303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211022321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19790652 + ... + 19791268.

It is an arithmetic number, because the mean of its divisors is an integer number (206906400).

Almost surely, 212211022320 is an apocalyptic number.

12211022320 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 12211022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16552512000).

12211022320 is an abundant number, since it is smaller than the sum of its proper divisors (20894001680).

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

12211022320 is a wasteful number, since it uses less digits than its factorization.

12211022320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12211022320 its reverse (2322011221), we get a palindrome (14533033541).

The spelling of 12211022320 in words is "twelve billion, two hundred eleven million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 59 70 80 112 118 140 236 280 295 413 472 560 590 599 617 826 944 1180 1198 1234 1652 2065 2360 2396 2468 2995 3085 3304 4130 4193 4319 4720 4792 4936 5990 6170 6608 8260 8386 8638 9584 9872 11980 12340 16520 16772 17276 20965 21595 23960 24680 33040 33544 34552 35341 36403 41930 43190 47920 49360 67088 69104 70682 72806 83860 86380 141364 145612 167720 172760 176705 182015 247387 254821 282728 291224 335440 345520 353410 364030 369583 494774 509642 565456 582448 706820 728060 739166 989548 1019284 1236935 1274105 1413640 1456120 1478332 1847915 1979096 2038568 2473870 2548210 2587081 2827280 2912240 2956664 3695830 3958192 4077136 4947740 5096420 5174162 5913328 7391660 9895480 10192840 10348324 12935405 14783320 19790960 20385680 20696648 21805397 25870810 29566640 41393296 43610794 51741620 87221588 103483240 109026985 152637779 174443176 206966480 218053970 305275558 348886352 436107940 610551116 763188895 872215880 1221102232 1526377790 1744431760 2442204464 3052755580 6105511160 12211022320