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12302112131200 = 27526793565937
BaseRepresentation
bin1011001100000100111100…
…0001100000100010000000
31121120001220100100111212001
42303001033001200202000
53103024211201144300
642055302353313344
72406540543525643
oct263011701404200
947501810314761
1012302112131200
113a13329645581
121468294565854
136b3112c95c68
143075d5447a5a
15165015c4116a
hexb304f060880

12302112131200 has 96 divisors (see below), whose sum is σ = 30394588812660. Its totient is φ = 4920111759360.

The previous prime is 12302112131189. The next prime is 12302112131213. The reversal of 12302112131200 is 213121120321.

It can be written as a sum of positive squares in 6 ways, for example, as 5700213550144 + 6601898581056 = 2387512^2 + 2569416^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21454632 + ... + 22020568.

Almost surely, 212302112131200 is an apocalyptic number.

12302112131200 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 12302112131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15197294406330).

12302112131200 is an abundant number, since it is smaller than the sum of its proper divisors (18092476681460).

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

12302112131200 is an equidigital number, since it uses as much as digits as its factorization.

12302112131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572754 (or 572737 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 12302112131200 its reverse (213121120321), we get a palindrome (12515233251521).

The spelling of 12302112131200 in words is "twelve trillion, three hundred two billion, one hundred twelve million, one hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 6793 13586 27172 33965 54344 67930 108688 135860 169825 217376 271720 339650 434752 543440 565937 679300 869504 1086880 1131874 1358600 2173760 2263748 2717200 2829685 4347520 4527496 5434400 5659370 9054992 10868800 11318740 14148425 18109984 21737600 22637480 28296850 36219968 45274960 56593700 72439936 90549920 113187400 181099840 226374800 362199680 452749600 905499200 1810998400 3844410041 7688820082 15377640164 19222050205 30755280328 38444100410 61510560656 76888200820 96110251025 123021121312 153776401640 192220502050 246042242624 307552803280 384441004100 492084485248 615105606560 768882008200 1230211213120 1537764016400 2460422426240 3075528032800 6151056065600 12302112131200