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12800660120 = 23523311393229
BaseRepresentation
bin10111110101111101…
…01001001010011000
31020001002200220112222
423322332221022120
5202203432110440
65514110323212
7632132546543
oct137276511230
936032626488
1012800660120
115479703456
122592ab9508
13128ccb9001
148960b985a
154edbc82b5
hex2fafa9298

12800660120 has 128 divisors (see below), whose sum is σ = 31256064000. Its totient is φ = 4704099840.

The previous prime is 12800660111. The next prime is 12800660123. The reversal of 12800660120 is 2106600821.

Together with 18455403879 it forms a betrothed pair.

It is a self number, because there is not a number n which added to its sum of digits gives 12800660120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12800660123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3962666 + ... + 3965894.

It is an arithmetic number, because the mean of its divisors is an integer number (244188000).

Almost surely, 212800660120 is an apocalyptic number.

12800660120 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 12800660120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15628032000).

12800660120 is an abundant number, since it is smaller than the sum of its proper divisors (18455403880).

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

12800660120 is a wasteful number, since it uses less digits than its factorization.

12800660120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3433 (or 3429 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 12800660120 in words is "twelve billion, eight hundred million, six hundred sixty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 31 40 46 62 92 115 124 139 155 184 230 248 278 310 460 556 620 695 713 920 1112 1240 1390 1426 2780 2852 3197 3229 3565 4309 5560 5704 6394 6458 7130 8618 12788 12916 14260 15985 16145 17236 21545 25576 25832 28520 31970 32290 34472 43090 63940 64580 74267 86180 99107 100099 127880 129160 148534 172360 198214 200198 297068 371335 396428 400396 448831 495535 500495 594136 742670 792856 800792 897662 991070 1000990 1485340 1795324 1982140 2001980 2244155 2302277 2970680 3590648 3964280 4003960 4488310 4604554 8976620 9209108 10323113 11511385 13913761 17953240 18418216 20646226 23022770 27827522 41292452 46045540 51615565 55655044 69568805 82584904 92091080 103231130 111310088 139137610 206462260 278275220 320016503 412924520 556550440 640033006 1280066012 1600082515 2560132024 3200165030 6400330060 12800660120