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12128503860 = 223251131197597
BaseRepresentation
bin10110100101110101…
…00100100000110100
31011022020220211111200
423102322210200310
5144314344110420
65323255532500
7606361403364
oct132272444064
934266824450
1012128503860
115164251510
12242598a130
1311b3978305
14830b0c9a4
154aeba5b90
hex2d2ea4834

12128503860 has 144 divisors (see below), whose sum is σ = 41429187072. Its totient is φ = 2845382400.

The previous prime is 12128503843. The next prime is 12128503861. The reversal of 12128503860 is 6830582121.

It is a happy number.

12128503860 is a `hidden beast` number, since 121 + 28 + 503 + 8 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12128503861) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37419 + ... + 160178.

It is an arithmetic number, because the mean of its divisors is an integer number (287702688).

Almost surely, 212128503860 is an apocalyptic number.

12128503860 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 12128503860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20714593536).

12128503860 is an abundant number, since it is smaller than the sum of its proper divisors (29300683212).

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

12128503860 is a wasteful number, since it uses less digits than its factorization.

12128503860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197654 (or 197649 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 12128503860 in words is "twelve billion, one hundred twenty-eight million, five hundred three thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 31 33 36 44 45 55 60 62 66 90 93 99 110 124 132 155 165 180 186 198 220 279 310 330 341 372 396 465 495 558 620 660 682 930 990 1023 1116 1364 1395 1705 1860 1980 2046 2790 3069 3410 4092 5115 5580 6138 6820 10230 12276 15345 20460 30690 61380 197597 395194 592791 790388 987985 1185582 1778373 1975970 2173567 2371164 2963955 3556746 3951940 4347134 5927910 6125507 6520701 7113492 8694268 8891865 10867835 11855820 12251014 13041402 17783730 18376521 19562103 21735670 24502028 26082804 30627535 32603505 35567460 36753042 39124206 43471340 55129563 61255070 65207010 67380577 73506084 78248412 91882605 97810515 110259126 122510140 130414020 134761154 183765210 195621030 202141731 220518252 269522308 275647815 336902885 367530420 391242060 404283462 551295630 606425193 673805770 808566924 1010708655 1102591260 1212850386 1347611540 2021417310 2425700772 3032125965 4042834620 6064251930 12128503860