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12351102000 = 2435319108343
BaseRepresentation
bin10111000000010111…
…01101110000110000
31011212202202222202020
423200023231300300
5200243340231000
65401330551440
7615033430506
oct134013556060
934782688666
1012351102000
115268969816
122488438580
13121ab154a3
148524d4676
154c44c5ba0
hex2e02edc30

12351102000 has 160 divisors (see below), whose sum is σ = 41916126720. Its totient is φ = 3120249600.

The previous prime is 12351101999. The next prime is 12351102013. The reversal of 12351102000 is 20115321.

It is a super-2 number, since 2×123511020002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 59829 + ... + 168171.

It is an arithmetic number, because the mean of its divisors is an integer number (261975792).

Almost surely, 212351102000 is an apocalyptic number.

12351102000 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 12351102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20958063360).

12351102000 is an abundant number, since it is smaller than the sum of its proper divisors (29565024720).

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

12351102000 is a wasteful number, since it uses less digits than its factorization.

12351102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108388 (or 108372 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 12351102000 its reverse (20115321), we get a palindrome (12371217321).

The spelling of 12351102000 in words is "twelve billion, three hundred fifty-one million, one hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 95 100 114 120 125 150 152 190 200 228 240 250 285 300 304 375 380 400 456 475 500 570 600 750 760 912 950 1000 1140 1200 1425 1500 1520 1900 2000 2280 2375 2850 3000 3800 4560 4750 5700 6000 7125 7600 9500 11400 14250 19000 22800 28500 38000 57000 108343 114000 216686 325029 433372 541715 650058 866744 1083430 1300116 1625145 1733488 2058517 2166860 2600232 2708575 3250290 4117034 4333720 5200464 5417150 6175551 6500580 8125725 8234068 8667440 10292585 10834300 12351102 13001160 13542875 16251450 16468136 20585170 21668600 24702204 26002320 27085750 30877755 32502900 32936272 40628625 41170340 43337200 49404408 51462925 54171500 61755510 65005800 81257250 82340680 98808816 102925850 108343000 123511020 130011600 154388775 162514500 164681360 205851700 216686000 247022040 257314625 308777550 325029000 411703400 494044080 514629250 617555100 650058000 771943875 823406800 1029258500 1235110200 1543887750 2058517000 2470220400 3087775500 4117034000 6175551000 12351102000